Shamolin, M. V. Invariants of fifth-order homogeneous systems with dissipation. (English. Russian original) Zbl 07820603 Dokl. Math. 108, No. 3, 506-513 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 514, No. 1, 98-106 (2023). MSC: 37J35 37C79 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Dokl. Math. 108, No. 3, 506--513 (2023; Zbl 07820603); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 514, No. 1, 98--106 (2023) Full Text: DOI
Shamolin, M. V. Motion of a rigid body with frontal cone in a resistive medium: qualitative analysis and integrability. (English. Russian original) Zbl 1524.70048 J. Math. Sci., New York 272, No. 5, 703-728 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 174, 83-108 (2020). MSC: 70G60 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 272, No. 5, 703--728 (2023; Zbl 1524.70048); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 174, 83--108 (2020) Full Text: DOI
Shamolin, M. V. Dissipative systems: relative roughness, nonroughness of various degrees, and integrability. (English. Russian original) Zbl 1524.70047 J. Math. Sci., New York 272, No. 5, 690-702 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 174, 70-82 (2020). MSC: 70G60 37N05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 272, No. 5, 690--702 (2023; Zbl 1524.70047); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 174, 70--82 (2020) Full Text: DOI
Shamolin, M. V. Odd-order integrable dynamical systems with dissipation. (English. Russian original) Zbl 1519.70016 J. Math. Sci., New York 272, No. 5, 672-689 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 174, 52-69 (2020). MSC: 70G60 70H06 37J35 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 272, No. 5, 672--689 (2023; Zbl 1519.70016); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 174, 52--69 (2020) Full Text: DOI
Shamolin, M. V. New cases of homogeneous integrable systems with dissipation on tangent bundles of four-dimensional manifolds. (English. Russian original) Zbl 1482.37059 Dokl. Math. 103, No. 2, 85-91 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 497, 23-30 (2021). MSC: 37J35 37J39 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Dokl. Math. 103, No. 2, 85--91 (2021; Zbl 1482.37059); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 497, 23--30 (2021) Full Text: DOI
Shamolin, M. V.; Krugova, E. P. Diagnostic problem for a model of a gyrostabilized platform. (English. Russian original) Zbl 1473.70010 J. Math. Sci., New York 257, No. 1, 138-142 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 160, 137-141 (2019). MSC: 70E05 PDFBibTeX XMLCite \textit{M. V. Shamolin} and \textit{E. P. Krugova}, J. Math. Sci., New York 257, No. 1, 138--142 (2021; Zbl 1473.70010); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 160, 137--141 (2019) Full Text: DOI
Shamolin, M. V. Families of portraits of some pendulum-like systems in dynamics. (Russian. English summary) Zbl 1512.70026 Sib. Zh. Ind. Mat. 23, No. 4, 144-156 (2020); translation in J. Appl. Ind. Math. 14, No. 4, 769-778 (2020). MSC: 70K05 70K42 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Sib. Zh. Ind. Mat. 23, No. 4, 144--156 (2020; Zbl 1512.70026); translation in J. Appl. Ind. Math. 14, No. 4, 769--778 (2020) Full Text: DOI MNR
Shamolin, M. V. New cases of homogeneous integrable systems with dissipation on tangent bundles of three-dimensional manifolds. (English. Russian original) Zbl 1482.37058 Dokl. Math. 102, No. 3, 518-523 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 84-90 (2020). MSC: 37J35 37J39 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Dokl. Math. 102, No. 3, 518--523 (2020; Zbl 1482.37058); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 84--90 (2020) Full Text: DOI
Shamolin, M. V. New cases of homogeneous integrable systems with dissipation on tangent bundles of two-dimensional manifolds. (English. Russian original) Zbl 1482.37057 Dokl. Math. 102, No. 2, 443-448 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 105-111 (2020). MSC: 37J35 37J39 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Dokl. Math. 102, No. 2, 443--448 (2020; Zbl 1482.37057); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 105--111 (2020) Full Text: DOI
Shamolin, M. V. New cases of integrable odd-order systems with dissipation. (English. Russian original) Zbl 1494.37038 Dokl. Math. 101, No. 2, 158-164 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 95-101 (2020). MSC: 37J35 37J39 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Dokl. Math. 101, No. 2, 158--164 (2020; Zbl 1494.37038); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 95--101 (2020) Full Text: DOI
Shamolin, M. V. Integrable homogeneous dissipative dynamical systems of an arbitrary odd order. (English. Russian original) Zbl 1456.37058 J. Math. Sci., New York 251, No. 5, 760-771 (2020); translation from Probl. Mat. Anal. 106, 179-189 (2020). MSC: 37J35 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 251, No. 5, 760--771 (2020; Zbl 1456.37058); translation from Probl. Mat. Anal. 106, 179--189 (2020) Full Text: DOI
Shamolin, M. V. Problems of qualitative analysis in the spatial dynamics of rigid bodies interacting with media. (English. Russian original) Zbl 1471.70015 J. Math. Sci., New York 250, No. 6, 984-996 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 150, 130-142 (2018). MSC: 70G60 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 250, No. 6, 984--996 (2020; Zbl 1471.70015); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 150, 130--142 (2018) Full Text: DOI
Shamolin, M. V. Examples of integrable systems with dissipation on the tangent bundles of four-dimensional manifolds. (English. Russian original) Zbl 1471.70014 J. Math. Sci., New York 250, No. 6, 973-983 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 150, 119-129 (2018). MSC: 70G60 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 250, No. 6, 973--983 (2020; Zbl 1471.70014); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 150, 119--129 (2018) Full Text: DOI
Shamolin, M. V. Examples of integrable systems with dissipation on the tangent bundles of three-dimensional manifolds. (English. Russian original) Zbl 1471.70013 J. Math. Sci., New York 250, No. 6, 964-972 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 150, 110-118 (2018). MSC: 70G60 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 250, No. 6, 964--972 (2020; Zbl 1471.70013); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 150, 110--118 (2018) Full Text: DOI
Shamolin, M. V. Examples of integrable systems with dissipation on the tangent bundles of multidimensional spheres. (English. Russian original) Zbl 1471.70012 J. Math. Sci., New York 250, No. 6, 932-941 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 150, 78-87 (2018). MSC: 70G60 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 250, No. 6, 932--941 (2020; Zbl 1471.70012); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 150, 78--87 (2018) Full Text: DOI
Shamolin, M. V. Integrable systems with dissipation on the tangent bundles of 2- and 3-dimensional spheres. (English. Russian original) Zbl 1455.70010 J. Math. Sci., New York 245, No. 4, 498-507 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 145, 86-94 (2018). MSC: 70G60 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 245, No. 4, 498--507 (2020; Zbl 1455.70010); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 145, 86--94 (2018) Full Text: DOI
Shamolin, M. V. Integrable dynamical systems with dissipation on tangent bundles of 2D and 3D manifolds. (English. Russian original) Zbl 1471.70011 J. Math. Sci., New York 244, No. 2, 335-355 (2020); translation from Tr. Semin. Im. I. G. Petrovskogo 32, 349-382 (2019). MSC: 70G60 37J39 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 244, No. 2, 335--355 (2020; Zbl 1471.70011); translation from Tr. Semin. Im. I. G. Petrovskogo 32, 349--382 (2019) Full Text: DOI
Shamolin, M. V. Integrable systems with many degrees of freedom and with dissipation. (English. Russian original) Zbl 1450.37053 Mosc. Univ. Mech. Bull. 74, No. 6, 137-146 (2019); translation from Vestn. Mosk. Univ., Ser. I 74, No. 6, 29-38 (2019). MSC: 37J35 37J39 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Mosc. Univ. Mech. Bull. 74, No. 6, 137--146 (2019; Zbl 1450.37053); translation from Vestn. Mosk. Univ., Ser. I 74, No. 6, 29--38 (2019) Full Text: DOI
Shamolin, M. V. Family of phase portraits in the spatial dynamics of a rigid body interacting with a resisting medium. (Russian, English) Zbl 1438.70019 Sib. Zh. Ind. Mat. 22, No. 2, 118-131 (2019); translation in J. Appl. Ind. Math. 13, No. 2, 327-339 (2019). MSC: 70K05 74F10 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Sib. Zh. Ind. Mat. 22, No. 2, 118--131 (2019; Zbl 1438.70019); translation in J. Appl. Ind. Math. 13, No. 2, 327--339 (2019) Full Text: DOI
Shamolin, M. V. Relative structural stability and instability of different degrees in systems with dissipation. (English. Russian original) Zbl 1416.37031 J. Math. Sci., New York 239, No. 3, 424-435 (2019); translation from Probl. Mat. Anal. 97, 167-178 (2019). MSC: 37C75 70E50 70E20 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 239, No. 3, 424--435 (2019; Zbl 1416.37031); translation from Probl. Mat. Anal. 97, 167--178 (2019) Full Text: DOI
Shamolin, M. V. Integrable third and fifth order dynamical systems with dissipation. (English. Russian original) Zbl 1416.37056 J. Math. Sci., New York 239, No. 3, 412-423 (2019); translation from Probl. Mat. Anal. 97, 155-165 (2019). MSC: 37J35 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 239, No. 3, 412--423 (2019; Zbl 1416.37056); translation from Probl. Mat. Anal. 97, 155--165 (2019) Full Text: DOI
Shamolin, M. V. New examples of integrable systems with dissipation on the tangent bundles of multidimensional spheres. (English. Russian original) Zbl 1471.70005 J. Math. Sci., New York 236, No. 6, 687-701 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 137, 104-117 (2017). MSC: 70E40 37E10 37N05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 236, No. 6, 687--701 (2019; Zbl 1471.70005); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 137, 104--117 (2017) Full Text: DOI
Shamolin, M. V. On a pendulum motion in multi-dimensional space. III: Dependence of force fields on the tensor of angular velocity. (Russian. English summary) Zbl 1471.70004 Vestn. Samar. Univ., Estestvennonauchn. Ser. 24, No. 2, 33-54 (2018). MSC: 70E15 70E40 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Vestn. Samar. Univ., Estestvennonauchn. Ser. 24, No. 2, 33--54 (2018; Zbl 1471.70004) Full Text: DOI MNR
Shamolin, M. V. Integrable dynamic systems with dissipation and finitely many degrees of freedom. (English. Russian original) Zbl 1403.37069 J. Math. Sci., New York 235, No. 3, 334-359 (2018); translation from Probl. Mat. Anal. 95, 79-101 (2018). MSC: 37J35 70G45 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 235, No. 3, 334--359 (2018; Zbl 1403.37069); translation from Probl. Mat. Anal. 95, 79--101 (2018) Full Text: DOI
Shamolin, M. V. Integrable systems with dissipation and two and three degrees of freedom. (English. Russian original) Zbl 1403.37068 J. Math. Sci., New York 235, No. 2, 220-242 (2018); translation from Probl. Mat. Anal. 94, 91-109 (2018). MSC: 37J35 70G45 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 235, No. 2, 220--242 (2018; Zbl 1403.37068); translation from Probl. Mat. Anal. 94, 91--109 (2018) Full Text: DOI
Shamolin, M. V. Simulation of the spatial action of a medium on a body of conical form. (Russian, English) Zbl 1413.70008 Sib. Zh. Ind. Mat. 21, No. 2, 122-130 (2018); translation in J. Appl. Ind. Math. 12, No. 2, 347-354 (2018). MSC: 70F35 70E40 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Sib. Zh. Ind. Mat. 21, No. 2, 122--130 (2018; Zbl 1413.70008); translation in J. Appl. Ind. Math. 12, No. 2, 347--354 (2018) Full Text: DOI
Shamolin, M. V. Integrable systems on the tangent bundle of a multi-dimensional sphere. (English. Russian original) Zbl 1446.70015 J. Math. Sci., New York 234, No. 4, 548-590 (2018); translation from Tr. Semin. Im. I. G. Petrovskogo 31, 257-323 (2016). MSC: 70E40 37N20 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 234, No. 4, 548--590 (2018; Zbl 1446.70015); translation from Tr. Semin. Im. I. G. Petrovskogo 31, 257--323 (2016) Full Text: DOI
Shamolin, M. V. A new case of an integrable system with dissipation on the tangent bundle of a multidimensional sphere. (English. Russian original) Zbl 1397.70009 Mosc. Univ. Mech. Bull. 73, No. 3, 51-59 (2018); translation from Vestn. Mosk. Univ., Ser. I 73, No. 3, 34-43 (2018). MSC: 70E17 70E45 70G60 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Mosc. Univ. Mech. Bull. 73, No. 3, 51--59 (2018; Zbl 1397.70009); translation from Vestn. Mosk. Univ., Ser. I 73, No. 3, 34--43 (2018) Full Text: DOI
Shamolin, M. V. Phase portraits of dynamical equations of motion of a rigid body in a resistive medium. (English. Russian original) Zbl 1423.70015 J. Math. Sci., New York 233, No. 3, 398-425 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 135 (2017). MSC: 70E15 70K05 34D20 37N20 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 233, No. 3, 398--425 (2018; Zbl 1423.70015); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 135 (2017) Full Text: DOI
Shamolin, M. V. Low-dimensional and multidimensional pendulums in nonconservative fields. II. (English. Russian original) Zbl 1423.70020 J. Math. Sci., New York 233, No. 3, 301-397 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 135 (2017). MSC: 70E17 70-02 37E10 37N05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 233, No. 3, 301--397 (2018; Zbl 1423.70020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 135 (2017) Full Text: DOI
Shamolin, M. V. Low-dimensional and multidimensional pendulums in nonconservative fields. I. (English. Russian original) Zbl 1423.70019 J. Math. Sci., New York 233, No. 2, 173-299 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 134 (2017). MSC: 70E17 70-02 37E10 37N05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 233, No. 2, 173--299 (2018; Zbl 1423.70019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 134 (2017) Full Text: DOI
Shamolin, M. V. Integrable variable dissipation systems on the tangent bundle of a multi-dimensional sphere and some applications. (English. Russian original) Zbl 1416.70009 J. Math. Sci., New York 230, No. 2, 185-353 (2018); translation from Fundam. Prikl. Mat. 20, No. 4, 3-231 (2015). Reviewer: Vladimir Sobolev (Samara) MSC: 70E45 70E40 37J05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 230, No. 2, 185--353 (2018; Zbl 1416.70009); translation from Fundam. Prikl. Mat. 20, No. 4, 3--231 (2015) Full Text: DOI
Shamolin, M. V. The case of integrable systems with dissipation on the tangent bundle of a multidimensional sphere. (English. Russian original) Zbl 1404.37071 J. Math. Sci., New York 228, No. 6, 723-730 (2018); translation from Probl. Mat. Anal. 90, 107-113 (2018). Reviewer: Teodor Atanacković (Novi Sad) MSC: 37J35 70E40 70E45 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 228, No. 6, 723--730 (2018; Zbl 1404.37071); translation from Probl. Mat. Anal. 90, 107--113 (2018) Full Text: DOI
Shamolin, M. V. On a pendulum motion in multi-dimensional space. II: Independence of force fields on the tensor of angular velocity. (Russian. English summary) Zbl 1471.70003 Vestn. Samar. Univ., Estestvennonauchn. Ser. 23, No. 4, 40-67 (2017). MSC: 70E15 70E40 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Vestn. Samar. Univ., Estestvennonauchn. Ser. 23, No. 4, 40--67 (2017; Zbl 1471.70003) Full Text: DOI MNR
Shamolin, M. V. On a pendulum motion in multi-dimensional space. I: Dynamical systems. (Russian. English summary) Zbl 1471.70002 Vestn. Samar. Univ., Estestvennonauchn. Ser. 23, No. 3, 41-64 (2017). MSC: 70E15 70E40 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Vestn. Samar. Univ., Estestvennonauchn. Ser. 23, No. 3, 41--64 (2017; Zbl 1471.70002) Full Text: DOI MNR
Shamolin, M. V. Cases of integrability corresponding to the pendulum motion in four-dimensional space. (Russian. English summary) Zbl 1393.70017 Vestn. Samar. Univ., Estestvennonauchn. Ser. 23, No. 1, 41-58 (2017). MSC: 70E45 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Vestn. Samar. Univ., Estestvennonauchn. Ser. 23, No. 1, 41--58 (2017; Zbl 1393.70017) Full Text: MNR
Shamolin, M. V. Auto-oscillations during deceleration of a rigid body in a resisting medium. (Russian, English) Zbl 1399.70003 Sib. Zh. Ind. Mat. 20, No. 4, 90-102 (2017); translation in J. Appl. Ind. Math. 11, No. 4, 572-583 (2017). MSC: 70E15 74F10 74Q10 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Sib. Zh. Ind. Mat. 20, No. 4, 90--102 (2017; Zbl 1399.70003); translation in J. Appl. Ind. Math. 11, No. 4, 572--583 (2017) Full Text: DOI
Lokshin, B. Ya.; Samsonov, V. A.; Shamolin, M. V. Pendulum systems with dynamical symmetry. (English. Russian original) Zbl 1405.70005 J. Math. Sci., New York 227, No. 4, 461-519 (2017); translation from Sovrem. Mat. Prilozh. 100 (2016). MSC: 70E17 70K05 70K55 34C05 34C23 37N05 PDFBibTeX XMLCite \textit{B. Ya. Lokshin} et al., J. Math. Sci., New York 227, No. 4, 461--519 (2017; Zbl 1405.70005); translation from Sovrem. Mat. Prilozh. 100 (2016) Full Text: DOI
Shamolin, M. V. Integrable motions of a pendulum in a two-dimensional plane. (English. Russian original) Zbl 1405.70006 J. Math. Sci., New York 227, No. 4, 419-441 (2017); translation from Sovrem. Mat. Prilozh. 100 (2016). MSC: 70E40 70E17 37N05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 227, No. 4, 419--441 (2017; Zbl 1405.70006); translation from Sovrem. Mat. Prilozh. 100 (2016) Full Text: DOI
Shamolin, M. V. Some problems of qualitative analysis in the modeling of the motion of rigid bodies in resistive media. (English. Russian original) Zbl 1412.70004 J. Math. Sci., New York 221, No. 2, 260-296 (2017); translation from Sovrem. Mat. Prilozh. 98 (2015). MSC: 70E15 37C75 37N05 74F10 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 221, No. 2, 260--296 (2017; Zbl 1412.70004); translation from Sovrem. Mat. Prilozh. 98 (2015) Full Text: DOI
Shamolin, M. V. New cases of integrability of equations of motion of a rigid body in the \(n\)-dimensional space. (English. Russian original) Zbl 1412.70009 J. Math. Sci., New York 221, No. 2, 205-259 (2017); translation from Sovrem. Mat. Prilozh. 98 (2015). MSC: 70E40 70E45 70H06 37J35 37N05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 221, No. 2, 205--259 (2017; Zbl 1412.70009); translation from Sovrem. Mat. Prilozh. 98 (2015) Full Text: DOI
Andreev, A. V.; Shamolin, M. V. Methods of mathematical modeling of the action of a medium on a conical body. (English. Russian original) Zbl 1412.70003 J. Math. Sci., New York 221, No. 2, 161-168 (2017); translation from Sovrem. Mat. Prilozh. 98 (2015). MSC: 70E15 76M99 PDFBibTeX XMLCite \textit{A. V. Andreev} and \textit{M. V. Shamolin}, J. Math. Sci., New York 221, No. 2, 161--168 (2017; Zbl 1412.70003); translation from Sovrem. Mat. Prilozh. 98 (2015) Full Text: DOI
Shamolin, M. V. Cases of integrability corresponding to the pendulum motion in three-dimensional space. (Russian. English summary) Zbl 1401.70010 Vestn. Samar. Univ., Estestvennonauchn. Ser. 2016, No. 3-4, 75-97 (2016). MSC: 70E40 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Vestn. Samar. Univ., Estestvennonauchn. Ser. 2016, No. 3--4, 75--97 (2016; Zbl 1401.70010) Full Text: MNR
Shamolin, M. V. On the problem of free deceleration of a rigid body in a resisting medium. (English. Russian original) Zbl 1417.70006 J. Appl. Mech. Tech. Phys. 57, No. 4, 611-622 (2016); translation from Prikl. Mekh. Tekh. Fiz. 57, No. 4, 43-56 (2016). MSC: 70E15 37N05 70K05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Appl. Mech. Tech. Phys. 57, No. 4, 611--622 (2016; Zbl 1417.70006); translation from Prikl. Mekh. Tekh. Fiz. 57, No. 4, 43--56 (2016) Full Text: DOI
Shamolin, M. V. Integrable systems in the dynamics on the tangent bundle of a two-dimensional sphere. (English. Russian original) Zbl 1373.37142 Mosc. Univ. Mech. Bull. 71, No. 2, 27-32 (2016); translation from Vestn. Mosk. Univ., Ser. I 71, No. 2, 25-30 (2016). MSC: 37J35 70B10 70E40 70E55 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Mosc. Univ. Mech. Bull. 71, No. 2, 27--32 (2016; Zbl 1373.37142); translation from Vestn. Mosk. Univ., Ser. I 71, No. 2, 25--30 (2016) Full Text: DOI
Shamolin, M. V. Integrable systems with variable dissipation on the tangent bundle of a sphere. (English. Russian original) Zbl 1353.70022 J. Math. Sci., New York 219, No. 2, 321-335 (2016); translation from Probl. Mat. Anal. 86, 139-151 (2016). MSC: 70E40 37J35 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 219, No. 2, 321--335 (2016; Zbl 1353.70022); translation from Probl. Mat. Anal. 86, 139--151 (2016) Full Text: DOI
Shamolin, M. V. Integrable nonconservative dynamical systems on the tangent bundle of the multidimensional sphere. (English. Russian original) Zbl 1353.70040 Differ. Equ. 52, No. 6, 722-738 (2016); translation from Differ. Uravn. 52, No. 6, 743-759 (2016). MSC: 70G45 34C20 70E40 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Differ. Equ. 52, No. 6, 722--738 (2016; Zbl 1353.70040); translation from Differ. Uravn. 52, No. 6, 743--759 (2016) Full Text: DOI
Shamolin, M. V. Integrable cases in the dynamics of a multi-dimensional rigid body in a nonconservative field in the presence of a tracking force. (English. Russian original) Zbl 1353.70021 J. Math. Sci., New York 214, No. 6, 865-891 (2016); translation from Fundam. Prikl. Mat. 19, No. 3, 187-222 (2014). MSC: 70E40 37J30 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 214, No. 6, 865--891 (2016; Zbl 1353.70021); translation from Fundam. Prikl. Mat. 19, No. 3, 187--222 (2014) Full Text: DOI
Andreev, A. V.; Shamolin, M. V. Simulation of the action of a medium on a conical body and the family of phase portraits in the space of quasivelocities. (English. Russian original) Zbl 1353.70016 J. Appl. Mech. Tech. Phys. 56, No. 4, 612-617 (2015); translation from Prikl. Mekh. Tekh. Fiz. 56, No. 4, 85-91 (2015). MSC: 70E40 PDFBibTeX XMLCite \textit{A. V. Andreev} and \textit{M. V. Shamolin}, J. Appl. Mech. Tech. Phys. 56, No. 4, 612--617 (2015; Zbl 1353.70016); translation from Prikl. Mekh. Tekh. Fiz. 56, No. 4, 85--91 (2015) Full Text: DOI
Shamolin, M. V. New case of complete integrability of dynamics equations on a tangent fibering to a 3D sphere. (English. Russian original) Zbl 1332.70010 Mosc. Univ. Math. Bull. 70, No. 3, 111-114 (2015); translation from Vestn. Mosk. Univ., Ser. I 70, No. 3, 11-14 (2015). MSC: 70E40 37J35 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Mosc. Univ. Math. Bull. 70, No. 3, 111--114 (2015; Zbl 1332.70010); translation from Vestn. Mosk. Univ., Ser. I 70, No. 3, 11--14 (2015) Full Text: DOI
Shamolin, M. V. Classification of integrable cases in the dynamics of a four-dimensional rigid body in a nonconservative field in the presence of a tracking force. (English. Russian original) Zbl 1346.70007 J. Math. Sci., New York 204, No. 6, 808-870 (2015); translation from Sovrem. Mat. Prilozh. 88 (2013). Reviewer: Teodor Atanacković (Novi Sad) MSC: 70E45 70E40 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 204, No. 6, 808--870 (2015; Zbl 1346.70007); translation from Sovrem. Mat. Prilozh. 88 (2013) Full Text: DOI
Okunev, Yu. M.; Shamolin, M. V. On the construction of the general solution of a class of complex nonautonomous equations. (English. Russian original) Zbl 1354.34029 J. Math. Sci., New York 204, No. 6, 787-799 (2015); translation from Sovrem. Mat. Prilozh. 88 (2013). MSC: 34A30 34E05 37J35 70H06 PDFBibTeX XMLCite \textit{Yu. M. Okunev} and \textit{M. V. Shamolin}, J. Math. Sci., New York 204, No. 6, 787--799 (2015; Zbl 1354.34029); translation from Sovrem. Mat. Prilozh. 88 (2013) Full Text: DOI
Shamolin, M. V. Some classes of integrable problems in spatial dynamics of a rigid body in a nonconservative force field. (English. Russian original) Zbl 1353.70020 J. Math. Sci., New York 210, No. 3, 292-330 (2015); translation from Tr. Semin. Im. I. G. Petrovskogo 30, No. 2, 287-350 (2014). MSC: 70E40 70E45 70H06 17B80 37J35 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 210, No. 3, 292--330 (2015; Zbl 1353.70020); translation from Tr. Semin. Im. I. G. Petrovskogo 30, No. 2, 287--350 (2014) Full Text: DOI
Shamolin, M. V. Rigid body motion in a resisting medium modeling and analogues with vortex streets. (Russian. English summary) Zbl 1340.76015 Mat. Model. 27, No. 1, 33-53 (2015). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 76B47 76B10 76D17 70E18 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Mat. Model. 27, No. 1, 33--53 (2015; Zbl 1340.76015) Full Text: MNR
Shamolin, M. V. Variety of integrable cases in dynamics of low- and multi-dimensional rigid bodies in nonconservative force fields. (English. Russian original) Zbl 1353.70019 J. Math. Sci., New York 204, No. 4, 379-530 (2015); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 125, 5-254 (2013). MSC: 70E40 37J35 37N05 70-02 37-02 70E18 70E45 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 204, No. 4, 379--530 (2015; Zbl 1353.70019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 125, 5--254 (2013) Full Text: DOI
Andreev, A. V.; Shamolin, M. V. Mathematical modeling of a medium interaction onto rigid body and new two-parametric family of phase patterns. (Russian. English summary) Zbl 1353.70011 Vestn. Samar. Gos. Univ., Estestvennonauchn. Ser. 2014, No. 10(121), 109-115 (2014). MSC: 70E18 PDFBibTeX XMLCite \textit{A. V. Andreev} and \textit{M. V. Shamolin}, Vestn. Samar. Gos. Univ., Estestvennonauchn. Ser. 2014, No. 10(121), 109--115 (2014; Zbl 1353.70011) Full Text: MNR
Pokhodnya, N. V.; Shamolin, M. V. Integrable systems on tangent bundle of a multidimensional sphere. (Russian. English summary) Zbl 1353.70017 Vestn. Samar. Gos. Univ., Estestvennonauchn. Ser. 2014, No. 7(118), 60-69 (2014). MSC: 70E40 70G45 PDFBibTeX XMLCite \textit{N. V. Pokhodnya} and \textit{M. V. Shamolin}, Vestn. Samar. Gos. Univ., Estestvennonauchn. Ser. 2014, No. 7(118), 60--69 (2014; Zbl 1353.70017) Full Text: MNR
Shamolin, Maxim V. Dynamical pendulum-like nonconservative systems. (English) Zbl 1302.70051 Awrejcewicz, Jan (ed.), Applied non-linear dynamical systems. Selected papers based on the presentations at the 12th international conference “Dynamical systems-theory and applications”, DSTA, Łódź, Poland, December 2–5, 2013. Cham: Springer (ISBN 978-3-319-08265-3/hbk; 978-3-319-08266-0/ebook). Springer Proceedings in Mathematics & Statistics 93, 503-525 (2014). MSC: 70H20 70H33 70E40 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Springer Proc. Math. Stat. 93, 503--525 (2014; Zbl 1302.70051) Full Text: DOI
Shamolin, Maxim V. Variety of the cases of integrability in dynamics of a symmetric 2d-, 3d- and 4d-rigid body in a nonconservative field. (English) Zbl 1359.70059 Int. J. Struct. Stab. Dyn. 13, No. 7, Article ID 1340011, 14 p. (2013). MSC: 70E40 70E18 70E45 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Int. J. Struct. Stab. Dyn. 13, No. 7, Article ID 1340011, 14 p. (2013; Zbl 1359.70059) Full Text: DOI
Pokhodnya, N. V.; Shamolin, M. V. Certain conditions of integrability of dynamical systems in transcendental functions. (Russian. English summary) Zbl 1328.34004 Vestn. Samar. Gos. Univ., Estestvennonauchn. Ser. 2013, No. 9(110), Part 1, 35-41 (2013). MSC: 34A05 70E40 70E17 PDFBibTeX XMLCite \textit{N. V. Pokhodnya} and \textit{M. V. Shamolin}, Vestn. Samar. Gos. Univ., Estestvennonauchn. Ser. 2013, No. 9(110), Part 1, 35--41 (2013; Zbl 1328.34004) Full Text: MNR
Shamolin, M. V. A new case of integrability in transcendental functions in the dynamics of solid body interacting with the environment. (English. Russian original) Zbl 1297.70003 Autom. Remote Control 74, No. 8, 1378-1392 (2013); translation from Avtom. Telemekh. 2013, No. 8, 173-190 (2013). MSC: 70E15 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Autom. Remote Control 74, No. 8, 1378--1392 (2013; Zbl 1297.70003); translation from Avtom. Telemekh. 2013, No. 8, 173--190 (2013) Full Text: DOI
Shamolin, M. V. On integrability in dynamic problems for a rigid body interacting with a medium. (English. Russian original) Zbl 1284.70010 Int. Appl. Mech. 49, No. 6, 665-674 (2013); translation from Prikl. Mekh., Kiev 49, No. 6, 44-54 (2013). MSC: 70E40 70E15 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Int. Appl. Mech. 49, No. 6, 665--674 (2013; Zbl 1284.70010); translation from Prikl. Mekh., Kiev 49, No. 6, 44--54 (2013) Full Text: DOI
Shamolin, M. V. New case of integrability of dynamic equations on the tangent bundle of a 3-sphere. (English. Russian original) Zbl 1356.70011 Russ. Math. Surv. 68, No. 5, 963-965 (2013); translation from Usp. Mat. Nauk 68, No. 5, 185-186 (2013). Reviewer: Teodor Atanacković (Novi Sad) MSC: 70E40 70E45 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Russ. Math. Surv. 68, No. 5, 963--965 (2013; Zbl 1356.70011); translation from Usp. Mat. Nauk 68, No. 5, 185--186 (2013) Full Text: DOI MNR
Shamolin, M. V. Some questions of qualitative theory in dynamics of systems with the variable dissipation. (English. Russian original) Zbl 1338.37028 J. Math. Sci., New York 189, No. 2, 314-323 (2013); translation from Sovrem. Mat. Prilozh. 78 (2012). MSC: 37C10 34A12 34C15 37E35 70E60 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 189, No. 2, 314--323 (2013; Zbl 1338.37028); translation from Sovrem. Mat. Prilozh. 78 (2012) Full Text: DOI
Pokhodnya, N. V.; Shamolin, M. V. New case of integrability in dynamics of multidimensional body. (Russian. English summary) Zbl 1327.70009 Vestn. Samar. Gos. Univ., Estestvennonauchn. Ser. 2012, No. 9(100), 136-150 (2012). MSC: 70E55 PDFBibTeX XMLCite \textit{N. V. Pokhodnya} and \textit{M. V. Shamolin}, Vestn. Samar. Gos. Univ., Estestvennonauchn. Ser. 2012, No. 9(100), 136--150 (2012; Zbl 1327.70009) Full Text: MNR
Shamolin, M. V. Complete list of first integrals for dynamic equations of motion of a solid body in a resisting medium with consideration of linear damping. (English. Russian original) Zbl 1353.70008 Mosc. Univ. Mech. Bull. 67, No. 4, 92-95 (2012); translation from Vestn. Mosk. Univ., Ser. I 67, No. 4, 44-47 (2012). MSC: 70E15 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Mosc. Univ. Mech. Bull. 67, No. 4, 92--95 (2012; Zbl 1353.70008); translation from Vestn. Mosk. Univ., Ser. I 67, No. 4, 44--47 (2012) Full Text: DOI
Trofimov, V. V.; Shamolin, M. V. Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems. (English. Russian original) Zbl 1353.37121 J. Math. Sci., New York 180, No. 4, 365-530 (2012); translation from Fundam. Prikl. Mat. 16, No. 4, 3-229 (2010). MSC: 37J35 37N05 70H06 PDFBibTeX XMLCite \textit{V. V. Trofimov} and \textit{M. V. Shamolin}, J. Math. Sci., New York 180, No. 4, 365--530 (2012; Zbl 1353.37121); translation from Fundam. Prikl. Mat. 16, No. 4, 3--229 (2010) Full Text: DOI
Shamolin, M. V. The problem of a rigid body motion in a resisting medium with the assumption of dependence of the force moment from the angular velocity. (Russian. English summary) Zbl 1289.70008 Mat. Model. 24, No. 10, 109-133 (2012). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 70E15 70F40 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Mat. Model. 24, No. 10, 109--133 (2012; Zbl 1289.70008) Full Text: MNR
Shamolin, M. V. Comparison of complete integrability cases in dynamics of a two-, three-, and four-dimensional rigid body in a nonconservative field. (English. Russian original) Zbl 1277.37104 J. Math. Sci., New York 187, No. 3, 346-359 (2012); translation from Sovrem. Mat. Prilozh. 76, 84-99 (2012). Reviewer: Nenad Manojlović (Faro) MSC: 37N05 70E40 37J35 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 187, No. 3, 346--359 (2012; Zbl 1277.37104); translation from Sovrem. Mat. Prilozh. 76, 84--99 (2012) Full Text: DOI
Georgievskii, D. V.; Shamolin, M. V. Levi-Civita symbols, generalized vector products, and new integrable cases in mechanics of multidimensional bodies. (English. Russian original) Zbl 1278.70007 J. Math. Sci., New York 187, No. 3, 280-299 (2012); translation from Sovrem. Mat. Prilozh. 76 (2012). Reviewer: Nenad Manojlović (Faro) MSC: 70E40 70E45 37J35 PDFBibTeX XMLCite \textit{D. V. Georgievskii} and \textit{M. V. Shamolin}, J. Math. Sci., New York 187, No. 3, 280--299 (2012; Zbl 1278.70007); translation from Sovrem. Mat. Prilozh. 76 (2012) Full Text: DOI
Shamolin, M. V. A multiparameter family of phase portraits in the dynamics of a rigid body interacting with a medium. (English. Russian original) Zbl 1433.70008 Mosc. Univ. Mech. Bull. 66, No. 3, 49-55 (2011); translation from Vestn. Mosk. Univ., Ser. I 66, No. 3, 24-30 (2011). MSC: 70E15 70K05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Mosc. Univ. Mech. Bull. 66, No. 3, 49--55 (2011; Zbl 1433.70008); translation from Vestn. Mosk. Univ., Ser. I 66, No. 3, 24--30 (2011) Full Text: DOI
Shamolin, M. V. Rigid body motion in a resisting medium. (Russian. English summary) Zbl 1274.74112 Mat. Model. 23, No. 12, 79-104 (2011). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 74F10 70E40 70K05 70K20 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Mat. Model. 23, No. 12, 79--104 (2011; Zbl 1274.74112) Full Text: MNR
Shamolin, M. V. Classification of complete integrability cases in four-dimensional symmetric rigid-body dynamics in a nonconservative field. (English. Russian original) Zbl 1288.70001 J. Math. Sci., New York 165, No. 6, 743-754 (2010); translation from Sovrem. Mat. Prilozh. 65, 1311-141 (2009). MSC: 70E45 70E15 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 165, No. 6, 743--754 (2010; Zbl 1288.70001); translation from Sovrem. Mat. Prilozh. 65, 1311--141 (2009) Full Text: DOI
Shamolin, M. V. New cases of integrability in the spatial dynamics of a rigid body. (English. Russian original) Zbl 1353.70018 Dokl. Phys. 55, No. 3, 155-159 (2010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 431, No. 3, 339-343 (2010). MSC: 70E40 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Dokl. Phys. 55, No. 3, 155--159 (2010; Zbl 1353.70018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 431, No. 3, 339--343 (2010) Full Text: DOI
Shamolin, M. V. The case of complete integrability in the dynamics of a four-dimensional rigid body in a nonconservative field. (English. Russian original) Zbl 1356.70010 Russ. Math. Surv. 65, No. 1, 183-185 (2010); translation from Usp. Mat. Nauk. 65, No. 1, 189-190 (2010). Reviewer: Teodor Atanacković (Novi Sad) MSC: 70E40 70E45 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Russ. Math. Surv. 65, No. 1, 183--185 (2010; Zbl 1356.70010); translation from Usp. Mat. Nauk. 65, No. 1, 189--190 (2010) Full Text: DOI MNR
Shamolin, M. V. Stability of rectilinear translational motion of a rigid body in resisting medium. (Russian, English) Zbl 1212.70023 Prikl. Mekh., Kiev 45, No. 6, 125-140 (2009); translation in Int. Appl. Mech. 45, No. 6, 680-692 (2009). Reviewer: A. N. Chernienko (Kyïv) MSC: 70E99 70K99 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Prikl. Mekh., Kiev 45, No. 6, 125--140 (2009; Zbl 1212.70023); translation in Int. Appl. Mech. 45, No. 6, 680--692 (2009)
Shamolin, M. V. On integrability in elementary functions of certain classes of nonconservative dynamical systems. (English. Russian original) Zbl 1188.37003 J. Math. Sci., New York 161, No. 5, 734-778 (2009); translation from Sovrem. Mat. Prilozh. 62 (2009). Reviewer: Vladimir Răsvan (Craiova) MSC: 37-02 34-02 37C99 34C14 34M35 37E99 70E15 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 161, No. 5, 734--778 (2009; Zbl 1188.37003); translation from Sovrem. Mat. Prilozh. 62 (2009) Full Text: DOI
Shamolin, M. V. New cases of full integrability in dynamics of a dynamically symmetric four-dimensional solid in a nonconservative field. (English. Russian original) Zbl 1347.70010 Dokl. Phys. 54, No. 3, 155-159 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, 425, No. 3, 338-342 (2009). MSC: 70E40 37N15 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Dokl. Phys. 54, No. 3, 155--159 (2009; Zbl 1347.70010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, 425, No. 3, 338--342 (2009) Full Text: DOI
Shamolin, M. V. Three-parametric family of phase portraits in dynamics of a solid interacting with a medium. (English. Russian original) Zbl 1257.70015 Dokl. Phys. 53, No. 1, 23-28 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, 418, No. 1, 46-51 (2008). MSC: 70E99 37N05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Dokl. Phys. 53, No. 1, 23--28 (2008; Zbl 1257.70015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, 418, No. 1, 46--51 (2008) Full Text: DOI
Shamolin, M. V. Integrability in elementary functions of some classes of dynamical systems. (English. Russian original) Zbl 1212.70011 Mosc. Univ. Mech. Bull. 63, No. 3, 53-59 (2008); translation from Vestn. Mosk. Univ., Ser. I 2008, No. 3, 43-49 (2008). Reviewer: A. A. Martynyuk (Kyïv) MSC: 70H06 37J35 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Vestn. Mosk. Univ., Ser. I 2008, No. 3, 43--49 (2008; Zbl 1212.70011); translation from Vestn. Mosk. Univ., Ser. I 2008, No. 3, 43--49 (2008) Full Text: DOI
Shamolin, M. V. New integrable cases in dynamics of a medium-interacting body with allowance for dependence of resistance force moment on angular velocity. (Russian, English) Zbl 1189.70045 Prikl. Mat. Mekh. 72, No. 2, 273-287 (2008); translation in J. Appl. Math. Mech. 72, No. 2, 169-179 (2008). Reviewer: Julia A. Martynyuk (Kyïv) MSC: 70F99 70E18 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Prikl. Mat. Mekh. 72, No. 2, 273--287 (2008; Zbl 1189.70045); translation in J. Appl. Math. Mech. 72, No. 2, 169--179 (2008)
Shamolin, M. V. Methods of analysis of various dissipation dynamical systems in dynamics of a rigid body. (Методы анализа динамических систем с переменной диссипацней в динамике твердого тела.) (Russian) Zbl 1334.70001 Moscow: Ekzamen (ISBN 5-472-02476-5). 350 p. (2007). MSC: 70-02 70E15 37N15 00A79 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Методы анализа динамических систем с переменной диссипацней в динамике твердого тела (Russian). Moscow: Ekzamen (2007; Zbl 1334.70001)
Shamolin, M. V. Some model problems of solid dynamics at its interaction with a medium. (Russian, English) Zbl 1164.74395 Prikl. Mekh., Kiev 43, No. 10, 49-67 (2007); translation in Int. Appl. Mech. 43, No. 10, 1107-1122 (2007). Reviewer: Julia A. Martynyuk (Kyïv) MSC: 74F10 70E18 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Prikl. Mekh., Kiev 43, No. 10, 49--67 (2007; Zbl 1164.74395); translation in Int. Appl. Mech. 43, No. 10, 1107--1122 (2007)
Shamolin, M. V. A case of complete integrability in the dynamics on the tangent bundle of a two-dimensional sphere. (English. Russian original) Zbl 1137.37325 Russ. Math. Surv. 62, No. 5, 1009-1011 (2007); translation from Usp. Mat. Nauk 62, No. 5, 169-170 (2007). MSC: 37J35 70E15 70E40 34C40 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Russ. Math. Surv. 62, No. 5, 1009--1011 (2007; Zbl 1137.37325); translation from Usp. Mat. Nauk 62, No. 5, 169--170 (2007) Full Text: DOI
Shamolin, M. V. An integrable case of dynamical equations on \(\text{so}(4)\times\mathbb R^4\). (English) Zbl 1183.70019 Russ. Math. Surv. 60, No. 6, 1245-1246 (2005); translation from Usp. Mat. Nauk 60, No. 6, 233-234 (2005). MSC: 70E40 37J35 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Russ. Math. Surv. 60, No. 6, 1245--1246 (2005; Zbl 1183.70019); translation from Usp. Mat. Nauk 60, No. 6, 233--234 (2005) Full Text: DOI
Shamolin, M. V. Comparison of Jacobi integrable cases of plane and spatial motion of a body in a medium at streamlining. (Russian, English) Zbl 1100.74546 Prikl. Mat. Mekh. 69, No. 6, 1003-1010 (2005); translation in J. Appl. Math. Mech. 69, No. 6, 900-906 (2005). Reviewer: V. I. Guljaev (Kyïv) MSC: 74F10 70E40 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Prikl. Mat. Mekh. 69, No. 6, 1003--1010 (2005; Zbl 1100.74546); translation in J. Appl. Math. Mech. 69, No. 6, 900--906 (2005)
Shamolin, M. V. Geometric representation of motion in a problem on interaction of a body with a medium. (Russian, English) Zbl 1116.74378 Prikl. Mekh., Kiev 40, No. 4, 137-144 (2004); translation in Int. Appl. Mech. 40, No. 4, 480-486 (2004). Reviewer: A. N. Chernienko (Kyïv) MSC: 74K20 70H99 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Prikl. Mekh., Kiev 40, No. 4, 137--144 (2004; Zbl 1116.74378); translation in Int. Appl. Mech. 40, No. 4, 480--486 (2004) Full Text: DOI
Shamolin, M. V. Classes of variable dissipation systems with nonzero mean in the dynamics of a rigid body. (English) Zbl 1140.70456 J. Math. Sci., New York 122, No. 1, 2841-2915 (2004). MSC: 70E99 34C40 37N05 70K05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 122, No. 1, 2841--2915 (2004; Zbl 1140.70456) Full Text: DOI
Georgievsky, D. V.; Shamolin, M. V. First integrals of motion equations of a generalized gyroscope in \(\mathbb R^n\). (Russian, English) Zbl 1127.70003 Vestn. Mosk. Univ., Ser. I 2003, No. 5, 37-41 (2003); translation in Mosc. Univ. Math. Bull. 58, No. 5, 25-29 (2003). Reviewer: Julia A. Martynyuk (Kyïv) MSC: 70E05 70K99 PDFBibTeX XMLCite \textit{D. V. Georgievsky} and \textit{M. V. Shamolin}, Vestn. Mosk. Univ., Ser. I 2003, No. 5, 37--41 (2003; Zbl 1127.70003); translation in Mosc. Univ. Math. Bull. 58, No. 5, 25--29 (2003)
Shamolin, M. V. Foundations of differential and topological diagnostics. (English) Zbl 1067.93020 J. Math. Sci., New York 114, No. 1, 976-1024 (2003); translated from Itogi Nauki Tekhn., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 112, Dynamical systems (2002). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 93B30 34H05 93C15 70Q05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 114, No. 1, 976--1024 (2003; Zbl 1067.93020) Full Text: DOI
Shamolin, M. V. New integrable cases and families of portraits in the plane and spatial dynamics of a rigid body interacting with a medium. (English) Zbl 1067.70006 J. Math. Sci., New York 114, No. 1, 919-975 (2003). Reviewer: Alexei Tsygvintsev (Lyon) MSC: 70E40 70G40 37N05 70F40 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 114, No. 1, 919--975 (2003; Zbl 1067.70006) Full Text: DOI
Shamolin, M. V. On the integration of some classes of nonconservative systems. (English. Russian original) Zbl 1054.34503 Russ. Math. Surv. 57, No. 1, 161-162 (2002); translation from Usp. Mat. Nauk 57, No. 1, 169-171 (2002). MSC: 34A05 34A34 34C14 70E40 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Russ. Math. Surv. 57, No. 1, 161--162 (2002; Zbl 1054.34503); translation from Usp. Mat. Nauk 57, No. 1, 169--171 (2002) Full Text: DOI
Shamolin, M. V. Some questions of the qualitative theory of ordinary differential equations and dynamics of a rigid body interacting with a medium. (English) Zbl 1006.34035 J. Math. Sci., New York 110, No. 2, 2528-2557 (2002); translation from Dynamical Systems - 10, Itogi Nauki Tekhn., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 79 (2000). Reviewer: Ronald L. Huston (Cincinnati) MSC: 34C23 70H14 34D30 37N05 34C05 37G15 70E15 70K50 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 110, No. 2, 2528--2557 (2002; Zbl 1006.34035); translation from Dynamical Systems - 10, Itogi Nauki Tekhn., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 79 (2000) Full Text: DOI
Shamolin, M. V. Complete integrability of equations of motion of a spatial pendulum placed in an incident medium. (English. Russian original) Zbl 1051.70509 Mosc. Univ. Mech. Bull. 56, No. 5, 1-7 (2001); translation from Vestn. Mosk. Univ., Ser. I 2001, No. 5, 22-28 (2001). Reviewer: V. I. Goncharenko (Kyïv) MSC: 70E40 70H06 37N05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Mosc. Univ. Mech. Bull. 56, No. 5, 1--7 (2001; Zbl 1051.70509); translation from Vestn. Mosk. Univ., Ser. I 2001, No. 5, 22--28 (2001)
Borisënok, I. T.; Shamolin, M. V. Solving the problem of differential diagnostics by the method of statistical tests. (English. Russian original) Zbl 1074.70572 Mosc. Univ. Mech. Bull. 56, No. 1, 1-3 (2001); translation from Vestn. Mosk. Univ., Ser. I 2001, No. 1, 29-31 (2001). Reviewer: R. K. Azimov (Andizhan) MSC: 70Q05 93C15 93E03 PDFBibTeX XMLCite \textit{I. T. Borisënok} and \textit{M. V. Shamolin}, Mosc. Univ. Mech. Bull. 56, No. 1, 1--3 (2001; Zbl 1074.70572); translation from Vestn. Mosk. Univ., Ser. I 2001, No. 1, 29--31 (2001)
Shamolin, M. V. Cases of integrability of three-dimensional dynamic equations for a solid. (English. Russian original) Zbl 1010.70520 Int. Appl. Mech. 37, No. 6, 769-777 (2001); translation from Prikl. Mekh., Kiev 37, No. 6, 74-82 (2001). Reviewer: A.A.Martynyuk (Kyïv) MSC: 70K99 70Q05 76V05 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Prikl. Mekh., Kiev 37, No. 6, 74--82 (2001; Zbl 1010.70520); translation from Prikl. Mekh., Kiev 37, No. 6, 74--82 (2001)
Shamolin, M. V. New integrable, in the sense of Jacobi, cases in the dynamics of a rigid body interacting with a medium. (English. Russian original) Zbl 1065.70500 Dokl. Phys. 44, No. 2, 110-113 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 364, No. 5, 627-629 (1999). MSC: 70E40 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Dokl. Phys. 44, No. 1, 27--629 (1999; Zbl 1065.70500); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 364, No. 5, 627--629 (1999)
Shamolin, M. V. Robustness of dissipative systems and relative robustness and nonrobustness of systems with variable dissipation. (English. Russian original) Zbl 0968.34039 Russ. Math. Surv. 54, No. 5, 1042-1043 (1999); translation from Usp. Mat. Nauk 54, No. 5, 181-182 (1999). MSC: 34D30 70E50 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Russ. Math. Surv. 54, No. 5, 1042--1043 (1999; Zbl 0968.34039); translation from Usp. Mat. Nauk 54, No. 5, 181--182 (1999) Full Text: DOI
Shamolin, M. V. The definition of relative robustness and a two-parameter family of phase portraits in the dynamics of a rigid body. (English. Russian original) Zbl 0874.70006 Russ. Math. Surv. 51, No. 1, 165-166 (1996); translation from Usp. Mat. Nauk 51, No. 1, 175-176 (1996). Reviewer: Yu.E.Gliklikh (Voronezh) MSC: 70E15 70G10 37C75 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Russ. Math. Surv. 51, No. 1, 165--166 (1996; Zbl 0874.70006); translation from Usp. Mat. Nauk 51, No. 1, 175--176 (1996) Full Text: DOI
Shamolin, M. V. Variety of phase portraits in the dynamics of a solid interacting with a resistant medium. (English. Russian original) Zbl 0900.70152 Phys.-Dokl. 41, No. 7, 320-324 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 349, No. 2, 193-197 (1996). MSC: 70E99 70G10 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Phys.-Dokl. 41, No. 7, 320--324 (1996; Zbl 0900.70152); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 349, No. 2, 193--197 (1996)