Yulina, Anna Olegovna Analytical substantiation of the gyroscopic effect in the works of O. I. Somov. (Russian. English summary) Zbl 07804934 Chebyshevskiĭ Sb. 24, No. 1(87), 304-312 (2023). MSC: 70-03 70E05 70E17 70E40 01A55 PDFBibTeX XMLCite \textit{A. O. Yulina}, Chebyshevskiĭ Sb. 24, No. 1(87), 304--312 (2023; Zbl 07804934) Full Text: DOI MNR
Pronevich, Andreĭ Frantsevich The Jacobi-Poisson method of building first integrals for system of ordinary differential equations. (Russian. English summary) Zbl 07797142 Differ. Uravn. Protsessy Upr. 2023, No. 4, 125-141 (2023). MSC: 70H06 70E40 70G45 PDFBibTeX XMLCite \textit{A. F. Pronevich}, Differ. Uravn. Protsessy Upr. 2023, No. 4, 125--141 (2023; Zbl 07797142) Full Text: Link
Dong, Xin-Chang; Zhang, Yi Herglotz-type principle and first integrals for nonholonomic systems in phase space. (English) Zbl 07784000 Acta Mech. 234, No. 12, 6083-6095 (2023). MSC: 70F25 70E40 70G10 70G75 PDFBibTeX XMLCite \textit{X.-C. Dong} and \textit{Y. Zhang}, Acta Mech. 234, No. 12, 6083--6095 (2023; Zbl 07784000) Full Text: DOI
Lerman, Eugene Stability and bifurcations of symmetric tops. (English) Zbl 07772606 Pure Appl. Math. Q. 19, No. 4, 2037-2065 (2023). MSC: 37J20 37J25 37J39 37G40 70H14 70H33 70E50 70E40 PDFBibTeX XMLCite \textit{E. Lerman}, Pure Appl. Math. Q. 19, No. 4, 2037--2065 (2023; Zbl 07772606) Full Text: DOI arXiv
Vaskova, V. S.; Rodnikov, A. V. On a sailed spacecraft motion along a handrail fixed to two heliocentric space stations. (English) Zbl 07771248 Russ. J. Nonlinear Dyn. 19, No. 3, 359-370 (2023). MSC: 70M20 70E40 PDFBibTeX XMLCite \textit{V. S. Vaskova} and \textit{A. V. Rodnikov}, Russ. J. Nonlinear Dyn. 19, No. 3, 359--370 (2023; Zbl 07771248) Full Text: DOI MNR
Deriglazov, Alexei A. Euler-Poisson equations of a dancing spinning top, integrability and examples of analytical solutions. (English) Zbl 07759152 Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107579, 12 p. (2023). MSC: 70E40 70E18 70G75 PDFBibTeX XMLCite \textit{A. A. Deriglazov}, Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107579, 12 p. (2023; Zbl 07759152) Full Text: DOI arXiv
Souris, Nikolaos Panagiotis Geodesics as products of one-parameter subgroups in compact Lie groups and homogeneous spaces. (English) Zbl 07747129 Math. Nachr. 296, No. 6, 2609-2625 (2023). Reviewer: Liviu Popescu (Craiova) MSC: 53C30 53C22 53C80 37J39 70E40 PDFBibTeX XMLCite \textit{N. P. Souris}, Math. Nachr. 296, No. 6, 2609--2625 (2023; Zbl 07747129) Full Text: DOI
Altuev, Murat K.; Kibkalo, Vladislav A. Topological analysis of pseudo-Euclidean Euler top for special values of the parameters. (English. Russian original) Zbl 1528.37049 Sb. Math. 214, No. 3, 334-348 (2023); translation from Mat. Sb. 214, No. 3, 54-70 (2023). MSC: 37J39 37J35 37J20 70E15 70E40 70E50 PDFBibTeX XMLCite \textit{M. K. Altuev} and \textit{V. A. Kibkalo}, Sb. Math. 214, No. 3, 334--348 (2023; Zbl 1528.37049); translation from Mat. Sb. 214, No. 3, 54--70 (2023) Full Text: DOI MNR
Skrypnyk, T. Symmetric and asymmetric separated variables. II: A second integrable case of the complex Kirchhoff model. (English) Zbl 1521.37059 J. Math. Phys. 64, No. 9, Article ID 093503, 21 p. (2023). MSC: 37J35 37J38 70E40 PDFBibTeX XMLCite \textit{T. Skrypnyk}, J. Math. Phys. 64, No. 9, Article ID 093503, 21 p. (2023; Zbl 1521.37059) Full Text: DOI
Kilin, Alexander A.; Ivanova, Tatiana B. The integrable problem of the rolling motion of a dynamically symmetric spherical top with one nonholonomic constraint. (English) Zbl 1525.70013 Russ. J. Nonlinear Dyn. 19, No. 1, 3-17 (2023). MSC: 70E40 70E18 70F25 PDFBibTeX XMLCite \textit{A. A. Kilin} and \textit{T. B. Ivanova}, Russ. J. Nonlinear Dyn. 19, No. 1, 3--17 (2023; Zbl 1525.70013) Full Text: DOI MNR
Magri, Franco A new look into the concept of separable system of classical mechanics. (English) Zbl 07736380 Physica D 454, Article ID 133850, 18 p. (2023). Reviewer: Liviu Popescu (Craiova) MSC: 37J35 37J39 70E40 70H33 PDFBibTeX XMLCite \textit{F. Magri}, Physica D 454, Article ID 133850, 18 p. (2023; Zbl 07736380) Full Text: DOI
Novikov, M. A. Stability of stationary motions of mechanical systems with a particular Goryachev-Chaplygin integral. (English. Russian original) Zbl 1528.70007 Mech. Solids 58, No. 3, 814-817 (2023); translation from Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 2023, No. 3, 177-180 (2023). MSC: 70E50 70E40 70E17 PDFBibTeX XMLCite \textit{M. A. Novikov}, Mech. Solids 58, No. 3, 814--817 (2023; Zbl 1528.70007); translation from Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 2023, No. 3, 177--180 (2023) Full Text: DOI
Dragović, Vladimir; Gajić, Borislav; Jovanović, Božidar Spherical and planar ball bearings – a study of integrable cases. (English) Zbl 07710979 Regul. Chaotic Dyn. 28, No. 1, 62-77 (2023). MSC: 37J60 37J35 70E40 70F25 PDFBibTeX XMLCite \textit{V. Dragović} et al., Regul. Chaotic Dyn. 28, No. 1, 62--77 (2023; Zbl 07710979) Full Text: DOI arXiv
Maciejewski, Andrzej J.; Przybylska, Maria Gyrostatic Suslov problem. (English) Zbl 1528.70004 Russ. J. Nonlinear Dyn. 18, No. 4, 609-627 (2022). MSC: 70E05 70F25 70E40 PDFBibTeX XMLCite \textit{A. J. Maciejewski} and \textit{M. Przybylska}, Russ. J. Nonlinear Dyn. 18, No. 4, 609--627 (2022; Zbl 1528.70004) Full Text: DOI MNR
Kosov, Aleksandr Arkadevich; Semenov, Èduard Ivanovich On the movement of gyrostat under the action of potential and gyroscopic forces. (English) Zbl 07663145 Zh. Sredn. Mat. Obshch. 24, No. 1, 66-75 (2022). MSC: 70E17 70E40 PDFBibTeX XMLCite \textit{A. A. Kosov} and \textit{È. I. Semenov}, Zh. Sredn. Mat. Obshch. 24, No. 1, 66--75 (2022; Zbl 07663145) Full Text: DOI MNR
Zyza, Aleksandr Vasil’evich; Khomyak, Tat’yana Valer’evna; Platonova, Elena Sergeevna New classes of particular solutions to one problem on gyrostat motion. (Russian. English summary) Zbl 1509.70003 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 32, No. 2, 298-318 (2022). MSC: 70E05 70E17 70E40 78A99 PDFBibTeX XMLCite \textit{A. V. Zyza} et al., Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 32, No. 2, 298--318 (2022; Zbl 1509.70003) Full Text: DOI MNR
Dragović, Vladimir; Gajić, Borislav; Jovanović, Božidar Spherical and planar ball bearings — nonholonomic systems with invariant measures. (English) Zbl 1504.37078 Regul. Chaotic Dyn. 27, No. 4, 424-442 (2022). MSC: 37J60 37J35 70E40 70F25 PDFBibTeX XMLCite \textit{V. Dragović} et al., Regul. Chaotic Dyn. 27, No. 4, 424--442 (2022; Zbl 1504.37078) Full Text: DOI arXiv
Kawasaki, Morimichi; Orita, Ryuma Rigid fibers of integrable systems on cotangent bundles. (English) Zbl 1502.53123 J. Math. Soc. Japan 74, No. 3, 829-847 (2022). MSC: 53D37 57R17 53D12 53D20 53D35 53D40 58K05 70E40 PDFBibTeX XMLCite \textit{M. Kawasaki} and \textit{R. Orita}, J. Math. Soc. Japan 74, No. 3, 829--847 (2022; Zbl 1502.53123) Full Text: DOI
Mahdi, Adam; Pessoa, Claudio; Ribeiro, Jarne D. Rigid centres on the center manifold of tridimensional differential systems. (English) Zbl 1505.34048 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 4, 1058-1080 (2022). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34C25 34C45 34A05 70E40 PDFBibTeX XMLCite \textit{A. Mahdi} et al., Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 4, 1058--1080 (2022; Zbl 1505.34048) Full Text: DOI
Artemova, Elizaveta M.; Vetchanin, Evgeny V. The motion of an unbalanced circular disk in the field of a point source. (English) Zbl 1486.76010 Regul. Chaotic Dyn. 27, No. 1, 24-42 (2022). MSC: 76B10 70E40 37N10 PDFBibTeX XMLCite \textit{E. M. Artemova} and \textit{E. V. Vetchanin}, Regul. Chaotic Dyn. 27, No. 1, 24--42 (2022; Zbl 1486.76010) Full Text: DOI arXiv
Borisov, Alexey V.; Ivanov, Alexander P. A top on a vibrating base: new integrable problem of nonholonomic mechanics. (English) Zbl 1513.70012 Regul. Chaotic Dyn. 27, No. 1, 2-10 (2022). MSC: 70E40 70E18 37J60 70F25 PDFBibTeX XMLCite \textit{A. V. Borisov} and \textit{A. P. Ivanov}, Regul. Chaotic Dyn. 27, No. 1, 2--10 (2022; Zbl 1513.70012) Full Text: DOI
Dragović, Vladimir; Khoshnasib-Zeinabad, Fariba Topology of the isoenergy manifolds of the Kirchhoff rigid body case on \(e(3)\). (English) Zbl 1513.70013 Topology Appl. 311, Article ID 107955, 29 p. (2022). MSC: 70E40 70G40 PDFBibTeX XMLCite \textit{V. Dragović} and \textit{F. Khoshnasib-Zeinabad}, Topology Appl. 311, Article ID 107955, 29 p. (2022; Zbl 1513.70013) Full Text: DOI
Odzijewicz, A.; Wawreniuk, E. Integrable Hamiltonian systems on the symplectic realizations of \(\textbf{e}(3)^\ast\). (English) Zbl 1495.37048 Russ. J. Math. Phys. 29, No. 1, 91-114 (2022). MSC: 37J35 37J39 53D50 53D17 70G45 70E40 PDFBibTeX XMLCite \textit{A. Odzijewicz} and \textit{E. Wawreniuk}, Russ. J. Math. Phys. 29, No. 1, 91--114 (2022; Zbl 1495.37048) Full Text: DOI arXiv
Kudryavtseva, E. A.; Oshemkov, A. A. Structurally stable nondegenerate singularities of integrable systems. (English) Zbl 1495.37047 Russ. J. Math. Phys. 29, No. 1, 57-75 (2022). MSC: 37J35 37J39 37J06 70H06 70E20 70E40 PDFBibTeX XMLCite \textit{E. A. Kudryavtseva} and \textit{A. A. Oshemkov}, Russ. J. Math. Phys. 29, No. 1, 57--75 (2022; Zbl 1495.37047) Full Text: DOI arXiv
Holzinger, Stefan; Gerstmayr, Johannes Time integration of rigid bodies modelled with three rotation parameters. (English) Zbl 1489.70001 Multibody Syst. Dyn. 53, No. 4, 345-378 (2021). Reviewer: Giovanni Rastelli (Vercelli) MSC: 70B10 70E55 70E40 PDFBibTeX XMLCite \textit{S. Holzinger} and \textit{J. Gerstmayr}, Multibody Syst. Dyn. 53, No. 4, 345--378 (2021; Zbl 1489.70001) Full Text: DOI
Vedyushkina, V. V.; Fomenko, A. T. Force evolutionary billiards and billiard equivalence of the Euler and Lagrange cases. (English. Russian original) Zbl 1482.37060 Dokl. Math. 103, No. 1, 1-4 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 5-8 (2021). MSC: 37J35 37J39 70E40 70E17 PDFBibTeX XMLCite \textit{V. V. Vedyushkina} and \textit{A. T. Fomenko}, Dokl. Math. 103, No. 1, 1--4 (2021; Zbl 1482.37060); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 5--8 (2021) Full Text: DOI
Gorr, Gennadiĭ Viktorovich An approach in studying gyrostat motion with variable gyrostatic moment. (Russian. English summary) Zbl 1479.70011 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 31, No. 1, 102-115 (2021). MSC: 70E05 70E17 70E40 PDFBibTeX XMLCite \textit{G. V. Gorr}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 31, No. 1, 102--115 (2021; Zbl 1479.70011) Full Text: DOI MNR
Borisov, A. V.; Tsiganov, A. V.; Mikishanina, E. A. On inhomogeneous nonholonomic Bilimovich system. (English) Zbl 1455.37053 Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105573, 12 p. (2021). MSC: 37J60 70F25 70E40 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105573, 12 p. (2021; Zbl 1455.37053) Full Text: DOI arXiv
Uriarte, Haritz; de Bustos, Igor Fernández; Urkullu, Gorka Implementation of linear springs and dampers in a newmark second order direct integration method for 2D multibody dynamics. (English) Zbl 1493.70030 Kecskeméthy, Andrés (ed.) et al., Multibody dynamics 2019. Proceedings of the 9th ECCOMAS thematic conference on multibody dynamics, University of Duisburg-Essen, Duisburg, Germany, July 15–18, 2019. Cham: Springer. Comput. Methods Appl. Sci. 53, 323-331 (2020). MSC: 70E55 70E40 PDFBibTeX XMLCite \textit{H. Uriarte} et al., Comput. Methods Appl. Sci. 53, 323--331 (2020; Zbl 1493.70030) Full Text: DOI
Meyer, Tobias; Li, Pu; Schweizer, Bernhard Alternative integration schemes for constrained mechanical systems. (English) Zbl 1493.70018 Kecskeméthy, Andrés (ed.) et al., Multibody dynamics 2019. Proceedings of the 9th ECCOMAS thematic conference on multibody dynamics, University of Duisburg-Essen, Duisburg, Germany, July 15–18, 2019. Cham: Springer. Comput. Methods Appl. Sci. 53, 315-322 (2020). MSC: 70E40 PDFBibTeX XMLCite \textit{T. Meyer} et al., Comput. Methods Appl. Sci. 53, 315--322 (2020; Zbl 1493.70018) Full Text: DOI
Françoise, Jean-Pierre; Tarama, Daisuke The rigid body dynamics in an ideal fluid: Clebsch top and Kummer surfaces. (English) Zbl 1483.37075 Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 2. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 459, 288-312 (2020). MSC: 37J35 37J39 37J38 70E40 14J28 14H70 PDFBibTeX XMLCite \textit{J.-P. Françoise} and \textit{D. Tarama}, Lond. Math. Soc. Lect. Note Ser. 459, 288--312 (2020; Zbl 1483.37075) Full Text: DOI arXiv Link
Borisov, A. V.; Ryabov, P. E.; Sokolov, S. V. On the existence of focus singularities in one model of a Lagrange top with a vibrating suspension point. (English. Russian original) Zbl 1482.37054 Dokl. Math. 102, No. 3, 468-471 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 26-30 (2020). MSC: 37J35 37J25 70E40 70H06 70H14 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Dokl. Math. 102, No. 3, 468--471 (2020; Zbl 1482.37054); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 26--30 (2020) Full Text: DOI
Ol’shanskii, V. Yu. Analysis of regular precession conditions for asymmetrical liquid-filled rigid bodies. (English) Zbl 1470.70008 Celest. Mech. Dyn. Astron. 132, No. 9, Paper No. 46, 19 p. (2020). MSC: 70E40 74F10 70H12 PDFBibTeX XMLCite \textit{V. Yu. Ol'shanskii}, Celest. Mech. Dyn. Astron. 132, No. 9, Paper No. 46, 19 p. (2020; Zbl 1470.70008) Full Text: DOI
Kibkalo, V. A. Noncompactness property of fibers and singularities of non-Euclidean Kovalevskaya system on pencil of Lie algebras. (English. Russian original) Zbl 1468.37048 Mosc. Univ. Math. Bull. 75, No. 6, 263-267 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 6, 56-59 (2020). MSC: 37J35 37J39 70E40 70G55 17B80 PDFBibTeX XMLCite \textit{V. A. Kibkalo}, Mosc. Univ. Math. Bull. 75, No. 6, 263--267 (2020; Zbl 1468.37048); translation from Vestn. Mosk. Univ., Ser. I 75, No. 6, 56--59 (2020) Full Text: DOI
Zhila, A. I. Topological types of isoenergy surfaces in the system of the Chaplygin ball with a rotor. (English. Russian original) Zbl 1468.37050 Mosc. Univ. Math. Bull. 75, No. 3, 134-138 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 3, 52-56 (2020). MSC: 37J60 37J39 37J35 70E18 70E40 PDFBibTeX XMLCite \textit{A. I. Zhila}, Mosc. Univ. Math. Bull. 75, No. 3, 134--138 (2020; Zbl 1468.37050); translation from Vestn. Mosk. Univ., Ser. I 75, No. 3, 52--56 (2020) Full Text: DOI
Borisov, Alexei V.; Mikishanina, Evgeniya A. Dynamics of the Chaplygin ball with variable parameters. (English) Zbl 1455.37052 Russ. J. Nonlinear Dyn. 16, No. 3, 453-462 (2020). MSC: 37J60 70F25 70E40 70K50 PDFBibTeX XMLCite \textit{A. V. Borisov} and \textit{E. A. Mikishanina}, Russ. J. Nonlinear Dyn. 16, No. 3, 453--462 (2020; Zbl 1455.37052) Full Text: DOI MNR
Sechin, I. A.; Zotov, A. V. Integrable system of generalized relativistic interacting tops. (English. Russian original) Zbl 1456.37057 Theor. Math. Phys. 205, No. 1, 1291-1302 (2020); translation from Teor. Mat. Fiz. 205, No. 1, 55-67 (2020). MSC: 37J35 37J37 70E40 PDFBibTeX XMLCite \textit{I. A. Sechin} and \textit{A. V. Zotov}, Theor. Math. Phys. 205, No. 1, 1291--1302 (2020; Zbl 1456.37057); translation from Teor. Mat. Fiz. 205, No. 1, 55--67 (2020) Full Text: DOI arXiv
Guzev, M. A. Features of mappings leading to a central field. (Russian. English summary) Zbl 1465.70028 Dal’nevost. Mat. Zh. 20, No. 1, 58-62 (2020). MSC: 70E40 37J06 PDFBibTeX XMLCite \textit{M. A. Guzev}, Dal'nevost. Mat. Zh. 20, No. 1, 58--62 (2020; Zbl 1465.70028) Full Text: MNR
Liu, Hsiao-Fan The star mean curvature flow on 3-sphere and hyperbolic 3-space. (English) Zbl 1451.53123 Asian J. Math. 24, No. 3, 483-500 (2020). MSC: 53E10 37K10 70E40 PDFBibTeX XMLCite \textit{H.-F. Liu}, Asian J. Math. 24, No. 3, 483--500 (2020; Zbl 1451.53123) Full Text: DOI
Kobtsev, I. F. An elliptic billiard in a potential force field: classification of motions, topological analysis. (English. Russian original) Zbl 1448.37066 Sb. Math. 211, No. 7, 987-1013 (2020); translation from Mat. Sb. 211, No. 7, 93-120 (2020). MSC: 37J35 37C83 37G10 70H06 70E40 PDFBibTeX XMLCite \textit{I. F. Kobtsev}, Sb. Math. 211, No. 7, 987--1013 (2020; Zbl 1448.37066); translation from Mat. Sb. 211, No. 7, 93--120 (2020) Full Text: DOI
Vedyushkina, Viktoriya Viktorovna The Liouville foliation of the billiard book modelling the Goryachev-Chaplygin case. (English. Russian original) Zbl 1448.37067 Mosc. Univ. Math. Bull. 75, No. 1, 42-46 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 1, 64-68 (2020). MSC: 37J35 37J39 70E40 PDFBibTeX XMLCite \textit{V. V. Vedyushkina}, Mosc. Univ. Math. Bull. 75, No. 1, 42--46 (2020; Zbl 1448.37067); translation from Vestn. Mosk. Univ., Ser. I 75, No. 1, 64--68 (2020) Full Text: DOI
Buzzi, Claudio A.; Llibre, Jaume; Pazim, Rubens On the dynamics of the Euler equations on so(4). (English) Zbl 1447.37057 Dyn. Syst. 35, No. 2, 361-368 (2020). MSC: 37J35 70E15 70E40 70E45 PDFBibTeX XMLCite \textit{C. A. Buzzi} et al., Dyn. Syst. 35, No. 2, 361--368 (2020; Zbl 1447.37057) Full Text: DOI Link
Vedyushkina, Viktoriya V. Integrable billiard systems realize toric foliations on Lens spaces and the 3-torus. (English. Russian original) Zbl 1443.37043 Sb. Math. 211, No. 2, 201-225 (2020); translation from Mat. Sb. 211, No. 2, 46-73 (2020). MSC: 37J35 37J39 37D40 37J20 70E40 PDFBibTeX XMLCite \textit{V. V. Vedyushkina}, Sb. Math. 211, No. 2, 201--225 (2020; Zbl 1443.37043); translation from Mat. Sb. 211, No. 2, 46--73 (2020) Full Text: DOI
Kibkalo, Vladislav Topological classification of Liouville foliations for the Kovalevskaya integrable case on the Lie algebra \(\operatorname{so}(3, 1)\). (English) Zbl 1439.37061 Topology Appl. 275, Article ID 107028, 10 p. (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J39 37J35 37J20 70E40 70E45 PDFBibTeX XMLCite \textit{V. Kibkalo}, Topology Appl. 275, Article ID 107028, 10 p. (2020; Zbl 1439.37061) Full Text: DOI arXiv
Laskar, Jacques; Vaillant, Timothée Dedicated symplectic integrators for rotation motions. (English) Zbl 1451.70006 Celest. Mech. Dyn. Astron. 131, No. 3, Paper No. 15, 34 p. (2019). MSC: 70E40 70H06 37M15 PDFBibTeX XMLCite \textit{J. Laskar} and \textit{T. Vaillant}, Celest. Mech. Dyn. Astron. 131, No. 3, Paper No. 15, 34 p. (2019; Zbl 1451.70006) Full Text: DOI arXiv
Lubowiecki, Paweł; Żołądek, Henryk Melnikov functions in the rigid body dynamics. (English) Zbl 1447.37058 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 75-82 (2019). MSC: 37J35 70E15 70E40 70E17 PDFBibTeX XMLCite \textit{P. Lubowiecki} and \textit{H. Żołądek}, in: Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1--7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. 75--82 (2019; Zbl 1447.37058) Full Text: DOI
Gorr, Gennadiĭ V.; Tkachenko, Dmitriĭ N.; Shchetinina, Elena K. Research on the motion of a body in a potential force field in the case of three invariant relations. (English) Zbl 1439.70004 Russ. J. Nonlinear Dyn. 15, No. 3, 327-342 (2019). MSC: 70E17 70E40 PDFBibTeX XMLCite \textit{G. V. Gorr} et al., Russ. J. Nonlinear Dyn. 15, No. 3, 327--342 (2019; Zbl 1439.70004) Full Text: DOI MNR
Qi, Guoyuan Modelings and mechanism analysis underlying both the 4D Euler equations and Hamiltonian conservative chaotic systems. (English) Zbl 1432.70020 Nonlinear Dyn. 95, No. 3, 2063-2077 (2019). MSC: 70E45 70E20 70E40 PDFBibTeX XMLCite \textit{G. Qi}, Nonlinear Dyn. 95, No. 3, 2063--2077 (2019; Zbl 1432.70020) Full Text: DOI
Kozlov, V. V. Tensor invariants and integration of differential equations. (English. Russian original) Zbl 1439.37057 Russ. Math. Surv. 74, No. 1, 111-140 (2019); translation from Usp. Mat. Nauk 74, No. 1, 117-148 (2019). MSC: 37J35 37J06 37J39 70E40 PDFBibTeX XMLCite \textit{V. V. Kozlov}, Russ. Math. Surv. 74, No. 1, 111--140 (2019; Zbl 1439.37057); translation from Usp. Mat. Nauk 74, No. 1, 117--148 (2019) Full Text: DOI
García-Naranjo, Luis C. Integrability of the \(n\)-dimensional axially symmetric Chaplygin sphere. (English) Zbl 1437.37081 Regul. Chaotic Dyn. 24, No. 5, 450-463 (2019). MSC: 37J60 70E18 70E40 58D19 PDFBibTeX XMLCite \textit{L. C. García-Naranjo}, Regul. Chaotic Dyn. 24, No. 5, 450--463 (2019; Zbl 1437.37081) Full Text: DOI arXiv
Ohsawa, Tomoki Collective heavy top dynamics. (English) Zbl 1436.37067 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 083, 17 p. (2019). Reviewer: Giovanni Rastelli (Vercelli) MSC: 37J35 53D20 70E17 70E40 37J39 37M15 39A36 PDFBibTeX XMLCite \textit{T. Ohsawa}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 083, 17 p. (2019; Zbl 1436.37067) Full Text: DOI arXiv
Pop, Camelia; Ene, Remus-Daniel Stability problems and analytical integration for the Clebsch’s system. (English) Zbl 1431.37064 Open Math. 17, 242-259 (2019). MSC: 37M15 37J35 70E40 PDFBibTeX XMLCite \textit{C. Pop} and \textit{R.-D. Ene}, Open Math. 17, 242--259 (2019; Zbl 1431.37064) Full Text: DOI
Fomenko, A. T.; Vedyushkina, V. V. Implementation of integrable systems by topological, geodesic billiards with potential and magnetic field. (English) Zbl 1459.37044 Russ. J. Math. Phys. 26, No. 3, 320-333 (2019). MSC: 37J35 37J39 37C83 70E40 70E45 PDFBibTeX XMLCite \textit{A. T. Fomenko} and \textit{V. V. Vedyushkina}, Russ. J. Math. Phys. 26, No. 3, 320--333 (2019; Zbl 1459.37044) Full Text: DOI
Vedyushkina, V. V.; Fomenko, A. T. Reducing the degree of integrals of Hamiltonian systems by using billiards. (English. Russian original) Zbl 1423.37055 Dokl. Math. 99, No. 3, 266-269 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 2, 151-155 (2019). MSC: 37J35 37D50 70E40 PDFBibTeX XMLCite \textit{V. V. Vedyushkina} and \textit{A. T. Fomenko}, Dokl. Math. 99, No. 3, 266--269 (2019; Zbl 1423.37055); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 2, 151--155 (2019) Full Text: DOI
Kilin, Alexander A.; Pivovarova, Elena N. Qualitative analysis of the nonholonomic rolling of a rubber wheel with sharp edges. (English) Zbl 1423.70013 Regul. Chaotic Dyn. 24, No. 2, 212-233 (2019). MSC: 70E15 70E18 70E40 37Jxx PDFBibTeX XMLCite \textit{A. A. Kilin} and \textit{E. N. Pivovarova}, Regul. Chaotic Dyn. 24, No. 2, 212--233 (2019; Zbl 1423.70013) Full Text: DOI
Vetchanin, Evgeny V. The motion of a balanced circular cylinder in an ideal fluid under the action of external periodic force and torque. (English) Zbl 1429.70004 Russ. J. Nonlinear Dyn. 15, No. 1, 41-57 (2019). MSC: 70E40 76B99 PDFBibTeX XMLCite \textit{E. V. Vetchanin}, Russ. J. Nonlinear Dyn. 15, No. 1, 41--57 (2019; Zbl 1429.70004) Full Text: DOI MNR
Ryabov, P. E. Bifurcations of Liouville tori in a system of two vortices of positive intensity in a Bose-Einstein condensate. (English. Russian original) Zbl 1416.37052 Dokl. Math. 99, No. 2, 225-229 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 6, 670-675 (2019). MSC: 37J20 37J35 37J40 70E40 70K43 PDFBibTeX XMLCite \textit{P. E. Ryabov}, Dokl. Math. 99, No. 2, 225--229 (2019; Zbl 1416.37052); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 6, 670--675 (2019) Full Text: DOI
Kibkalo, V. A. Topological classification of Liouville foliations for the Kovalevskaya integrable case on the Lie algebra \(\operatorname{so}(4)\). (English. Russian original) Zbl 1415.37081 Sb. Math. 210, No. 5, 625-662 (2019); translation from Mat. Sb. 210, No. 5, 3-40 (2019). MSC: 37J35 37J05 70E40 70G40 PDFBibTeX XMLCite \textit{V. A. Kibkalo}, Sb. Math. 210, No. 5, 625--662 (2019; Zbl 1415.37081); translation from Mat. Sb. 210, No. 5, 3--40 (2019) Full Text: DOI arXiv
Krasnov, T.; Zotov, A. Trigonometric integrable tops from solutions of associative Yang-Baxter equation. (English) Zbl 1425.37039 Ann. Henri Poincaré 20, No. 8, 2671-2697 (2019). Reviewer: Giovanni Rastelli (Vercelli) MSC: 37J35 70G65 70E40 PDFBibTeX XMLCite \textit{T. Krasnov} and \textit{A. Zotov}, Ann. Henri Poincaré 20, No. 8, 2671--2697 (2019; Zbl 1425.37039) Full Text: DOI arXiv
Fassò, Francesco; García-Naranjo, Luis C.; Montaldi, James Integrability and dynamics of the \(n\)-dimensional symmetric Veselova top. (English) Zbl 1418.37107 J. Nonlinear Sci. 29, No. 3, 1205-1246 (2019). MSC: 37J60 70E17 70E40 70E45 70F25 70K43 PDFBibTeX XMLCite \textit{F. Fassò} et al., J. Nonlinear Sci. 29, No. 3, 1205--1246 (2019; Zbl 1418.37107) Full Text: DOI arXiv
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
Kawasaki, Morimichi; Orita, Ryuma Rigid fibers of spinning tops. arXiv:1905.13112 Preprint, arXiv:1905.13112 [math.SG] (2019). MSC: 57R17 53D12 70E40 53D20 53D35 53D40 58K05 BibTeX Cite \textit{M. Kawasaki} and \textit{R. Orita}, ``Rigid fibers of spinning tops'', Preprint, arXiv:1905.13112 [math.SG] (2019) Full Text: arXiv OA License
Zyza, A. V. On a new case of integrability in the problem of solid body motion in magnetic field. (Russian. English summary) Zbl 1491.70010 Mekh. Tverd. Tela 48, 36-44 (2018). MSC: 70E40 PDFBibTeX XMLCite \textit{A. V. Zyza}, Mekh. Tverd. Tela 48, 36--44 (2018; Zbl 1491.70010) Full Text: Link
Kober, Markus; Kühhorn, Arnold Stable implicit time-integration of flexible rotating structures – explanation for instabilities and concepts for avoidance. (English) Zbl 1480.70010 Appl. Math. Modelling 60, 235-243 (2018). MSC: 70E40 65L05 PDFBibTeX XMLCite \textit{M. Kober} and \textit{A. Kühhorn}, Appl. Math. Modelling 60, 235--243 (2018; Zbl 1480.70010) Full Text: DOI
Kuleshov, A. S.; Katasonova, V. A. Existence of Liouvillian solutions in the problem of rolling motion of a dynamically symmetric ball on a perfectly rough sphere. (English. Russian original) Zbl 1455.70004 Vestn. St. Petersbg. Univ., Math. 51, No. 4, 407-412 (2018); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 4, 670-677 (2018). MSC: 70E18 70E40 PDFBibTeX XMLCite \textit{A. S. Kuleshov} and \textit{V. A. Katasonova}, Vestn. St. Petersbg. Univ., Math. 51, No. 4, 407--412 (2018; Zbl 1455.70004); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 4, 670--677 (2018) 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
Wang, Yue; Xu, Shijie Hamiltonian structure and relative equilibria of an axisymmetric rigid body in a second degree and order gravity field: cylindrical and generalized hyperbolic equilibria. (English) Zbl 1422.70006 Nonlinear Dyn. 94, No. 3, 1569-1583 (2018). MSC: 70E40 70H06 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{S. Xu}, Nonlinear Dyn. 94, No. 3, 1569--1583 (2018; Zbl 1422.70006) Full Text: DOI
Kilin, Alexander A.; Pivovarova, Elena N. Integrable nonsmooth nonholonomic dynamics of a rubber wheel with sharp edges. (English) Zbl 1429.70002 Regul. Chaotic Dyn. 23, No. 7-8, 887-907 (2018). MSC: 70E15 70E18 70E40 37J60 PDFBibTeX XMLCite \textit{A. A. Kilin} and \textit{E. N. Pivovarova}, Regul. Chaotic Dyn. 23, No. 7--8, 887--907 (2018; Zbl 1429.70002) Full Text: DOI
Popov, Sasho; Strelcyn, Jean-Marie The Euler-Poisson equations: an elementary approach to integrability conditions. (English) Zbl 1411.70006 J. Geom. Mech. 10, No. 3, 293-329 (2018). MSC: 70E17 70E40 37J30 37J35 PDFBibTeX XMLCite \textit{S. Popov} and \textit{J.-M. Strelcyn}, J. Geom. Mech. 10, No. 3, 293--329 (2018; Zbl 1411.70006) Full Text: DOI
Kibkalo, V. Topological analysis of the Liouville foliation for the Kovalevskaya integrable case on the Lie algebra \(\operatorname{so}(4)\). (English) Zbl 1408.37095 Lobachevskii J. Math. 39, No. 9, 1396-1399 (2018). MSC: 37J35 37J05 70E40 PDFBibTeX XMLCite \textit{V. Kibkalo}, Lobachevskii J. Math. 39, No. 9, 1396--1399 (2018; Zbl 1408.37095) Full Text: DOI
Kuleshov, A. S.; Zueva, D. S. Motion of a rotationally symmetric body on a sphere. (Russian. English summary) Zbl 1409.70010 Din. Sist., Simferopol’ 8(36), No. 1, 23-30 (2018). MSC: 70F25 70E18 70E40 PDFBibTeX XMLCite \textit{A. S. Kuleshov} and \textit{D. S. Zueva}, Din. Sist., Simferopol' 8(36), No. 1, 23--30 (2018; Zbl 1409.70010)
Vedyushkina, Viktoriya V.; Kharcheva, Irina S. Billiard books model all three-dimensional bifurcations of integrable Hamiltonian systems. (English. Russian original) Zbl 1408.37098 Sb. Math. 209, No. 12, 1690-1727 (2018); translation from Mat. Sb. 209, No. 12, 17-56 (2018). MSC: 37J35 37G10 37J20 70E40 37J05 PDFBibTeX XMLCite \textit{V. V. Vedyushkina} and \textit{I. S. Kharcheva}, Sb. Math. 209, No. 12, 1690--1727 (2018; Zbl 1408.37098); translation from Mat. Sb. 209, No. 12, 17--56 (2018) Full Text: DOI
Rogers, Colin Multi-component Ermakov and non-autonomous many-body system connections. (English) Zbl 1446.70016 Ric. Mat. 67, No. 2, 803-815 (2018). MSC: 70E55 70E40 PDFBibTeX XMLCite \textit{C. Rogers}, Ric. Mat. 67, No. 2, 803--815 (2018; Zbl 1446.70016) 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
Amer, T. S.; Amer, W. S. Substantial condition for the fourth first integral of the rigid body problem. (English) Zbl 1437.70006 Math. Mech. Solids 23, No. 8, 1237-1246 (2018). MSC: 70E17 70E05 70E40 PDFBibTeX XMLCite \textit{T. S. Amer} and \textit{W. S. Amer}, Math. Mech. Solids 23, No. 8, 1237--1246 (2018; Zbl 1437.70006) Full Text: DOI
Gorr, Gennadiĭ Viktorovich; Shchetinina, Elena Konstantinovna On the motion of a heavy rigid body in two special cases of S. V. Kovalevskaya’s solution. (Russian. English summary) Zbl 1395.70006 Nelineĭn. Din. 14, No. 1, 123-138 (2018). MSC: 70E17 70E40 PDFBibTeX XMLCite \textit{G. V. Gorr} and \textit{E. K. Shchetinina}, Nelineĭn. Din. 14, No. 1, 123--138 (2018; Zbl 1395.70006) Full Text: DOI MNR
Zigic, Miodrag; Grahovac, Nenad Numerical algorithm for rigid body position estimation using the quaternion approach. (English) Zbl 1390.70012 Acta Mech. Sin. 34, No. 2, 400-408 (2018). MSC: 70E40 PDFBibTeX XMLCite \textit{M. Zigic} and \textit{N. Grahovac}, Acta Mech. Sin. 34, No. 2, 400--408 (2018; Zbl 1390.70012) 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
García-Naranjo, Luis C.; Montaldi, James Gauge momenta as Casimir functions of nonholonomic systems. (English) Zbl 1431.70006 Arch. Ration. Mech. Anal. 228, No. 2, 563-602 (2018). MSC: 70F25 37J60 70E40 70H05 70S05 PDFBibTeX XMLCite \textit{L. C. García-Naranjo} and \textit{J. Montaldi}, Arch. Ration. Mech. Anal. 228, No. 2, 563--602 (2018; Zbl 1431.70006) Full Text: DOI arXiv Link
Tsiganov, A. V. Bäcklund transformations and divisor doubling. (English) Zbl 1385.37074 J. Geom. Phys. 126, 148-158 (2018). MSC: 37J35 14H70 70E40 70H15 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Geom. Phys. 126, 148--158 (2018; Zbl 1385.37074) Full Text: DOI arXiv
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
Liu, Hsiao-Fan Star Mean Curvature Flow on 3 manifolds and its Bäcklund Transformations. arXiv:1801.10347 Preprint, arXiv:1801.10347 [math.DG] (2018). MSC: 14H70 37K10 53C44 70E40 BibTeX Cite \textit{H.-F. Liu}, ``Star Mean Curvature Flow on 3 manifolds and its B\"acklund Transformations'', Preprint, arXiv:1801.10347 [math.DG] (2018) Full Text: arXiv OA License
Dragović, Vladimir; Kukić, Katarina Discriminantly separable polynomials and the generalized Kowalevski top. (English) Zbl 1474.37062 Theor. Appl. Mech. (Belgrade) 44, No. 2, 229-236 (2017). MSC: 37J35 37J39 70E17 70E40 PDFBibTeX XMLCite \textit{V. Dragović} and \textit{K. Kukić}, Theor. Appl. Mech. (Belgrade) 44, No. 2, 229--236 (2017; Zbl 1474.37062) 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
Ol’shanskiĭ, V. Yu. Partial linear integrals of the Poincaré-Zhukovskiĭ equations (the general case). (English. Russian original) Zbl 1443.70026 J. Appl. Math. Mech. 81, No. 4, 270-285 (2017); translation from Prikl. Mat. Mekh. 81, No. 4, 399-419 (2017). MSC: 70E40 PDFBibTeX XMLCite \textit{V. Yu. Ol'shanskiĭ}, J. Appl. Math. Mech. 81, No. 4, 270--285 (2017; Zbl 1443.70026); translation from Prikl. Mat. Mekh. 81, No. 4, 399--419 (2017) Full Text: DOI
Kharlamov, M. P.; Ryabov, P. E. Topological atlas of the Kovalevskaya top in a double field. (English. Russian original) Zbl 1384.37072 J. Math. Sci., New York 223, No. 6, 775-809 (2017); translation from Fundam. Prikl. Mat. 20, No. 2, 185-230 (2015). MSC: 37J35 70E40 37J05 70H06 PDFBibTeX XMLCite \textit{M. P. Kharlamov} and \textit{P. E. Ryabov}, J. Math. Sci., New York 223, No. 6, 775--809 (2017; Zbl 1384.37072); translation from Fundam. Prikl. Mat. 20, No. 2, 185--230 (2015) Full Text: DOI arXiv
Gajić, Borislav; Dragović, Vladimir; Jovanović, Božidar On the completeness of the Manakov integrals. (English. Russian original) Zbl 1404.37068 J. Math. Sci., New York 223, No. 6, 675-685 (2017); translation from Fundam. Prikl. Mat. 20, No. 2, 35-49 (2015). Reviewer: Teodor Atanacković (Novi Sad) MSC: 37J35 70E40 70E45 70E17 PDFBibTeX XMLCite \textit{B. Gajić} et al., J. Math. Sci., New York 223, No. 6, 675--685 (2017; Zbl 1404.37068); translation from Fundam. Prikl. Mat. 20, No. 2, 35--49 (2015) Full Text: DOI arXiv
Nikolaenko, S. S. Topological classification of the Goryachev integrable systems in the rigid body dynamics: non-compact case. (English) Zbl 1395.37042 Lobachevskii J. Math. 38, No. 6, 1050-1060 (2017). Reviewer: Sergey Agapov (Novosibirsk) MSC: 37J35 70E40 37J05 PDFBibTeX XMLCite \textit{S. S. Nikolaenko}, Lobachevskii J. Math. 38, No. 6, 1050--1060 (2017; Zbl 1395.37042) Full Text: DOI
Kozlov, I.; Oshemkov, A. Integrable systems with linear periodic integral for the Lie algebra e(3). (English) Zbl 1391.37046 Lobachevskii J. Math. 38, No. 6, 1014-1026 (2017). Reviewer: Ivailo Mladenov (Sofia) MSC: 37J35 37J15 37J20 53D20 70E40 PDFBibTeX XMLCite \textit{I. Kozlov} and \textit{A. Oshemkov}, Lobachevskii J. Math. 38, No. 6, 1014--1026 (2017; Zbl 1391.37046) Full Text: DOI
Kilin, Alexander A.; Pivovarova, Elena N. The rolling motion of a truncated ball without slipping and spinning on a plane. (English) Zbl 1410.70010 Regul. Chaotic Dyn. 22, No. 3, 298-317 (2017). MSC: 70E18 70E15 70E40 37N05 PDFBibTeX XMLCite \textit{A. A. Kilin} and \textit{E. N. Pivovarova}, Regul. Chaotic Dyn. 22, No. 3, 298--317 (2017; Zbl 1410.70010) 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
Vedyushkina, Viktoriya V.; Fomenko, Anatoly T. Integrable topological billiards and equivalent dynamical systems. (English. Russian original) Zbl 1380.37078 Izv. Math. 81, No. 4, 688-733 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 4, 20-67 (2017). Reviewer: Giovanni Rastelli (Vercelli) MSC: 37D50 37J35 70E40 PDFBibTeX XMLCite \textit{V. V. Vedyushkina} and \textit{A. T. Fomenko}, Izv. Math. 81, No. 4, 688--733 (2017; Zbl 1380.37078); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 4, 20--67 (2017) Full Text: DOI
Yehia, H. M. Regular precession of a rigid body (gyrostat) acted upon by an irreducible combination of three classical fields. (English) Zbl 1425.70008 J. Egypt. Math. Soc. 25, No. 2, 216-219 (2017). MSC: 70E17 70E40 PDFBibTeX XMLCite \textit{H. M. Yehia}, J. Egypt. Math. Soc. 25, No. 2, 216--219 (2017; Zbl 1425.70008) Full Text: DOI
Polekhin, Ivan Yu. Classical perturbation theory and resonances in some rigid body systems. (English) Zbl 1370.70024 Regul. Chaotic Dyn. 22, No. 2, 136-147 (2017). MSC: 70E17 70E20 70E40 PDFBibTeX XMLCite \textit{I. Yu. Polekhin}, Regul. Chaotic Dyn. 22, No. 2, 136--147 (2017; Zbl 1370.70024) Full Text: DOI
Ershkov, Sergey V. A Riccati-type solution of Euler-Poisson equations of rigid body rotation over the fixed point. (English) Zbl 1369.70007 Acta Mech. 228, No. 7, 2719-2723 (2017). MSC: 70E40 PDFBibTeX XMLCite \textit{S. V. Ershkov}, Acta Mech. 228, No. 7, 2719--2723 (2017; Zbl 1369.70007) Full Text: DOI
Fehér, L.; Görbe, T. F. The full phase space of a model in the Calogero-Ruijsenaars family. (English) Zbl 1377.37084 J. Geom. Phys. 115, 139-149 (2017). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37J35 70E40 70E55 PDFBibTeX XMLCite \textit{L. Fehér} and \textit{T. F. Görbe}, J. Geom. Phys. 115, 139--149 (2017; Zbl 1377.37084) Full Text: DOI arXiv
Ryabov, P. E. Explicit integration of the system of invariant relations for the case of M. Adler and P. van Moerbeke. (English. Russian original) Zbl 1367.37052 Dokl. Math. 95, No. 1, 17-20 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 2, 130-134 (2017). MSC: 37J35 37J15 70E40 PDFBibTeX XMLCite \textit{P. E. Ryabov}, Dokl. Math. 95, No. 1, 17--20 (2017; Zbl 1367.37052); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 2, 130--134 (2017) 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