Duviryak, Askold Asymptotical dynamics of askew-polarized spinning top under the radiation reaction torque. arXiv:2401.02970 Preprint, arXiv:2401.02970 [physics.class-ph] (2023). MSC: 34D05 34D15 70E20 BibTeX Cite \textit{A. Duviryak}, ``Asymptotical dynamics of askew-polarized spinning top under the radiation reaction torque'', Preprint, arXiv:2401.02970 [physics.class-ph] (2023) Full Text: arXiv OA License
Shamin, Alexander Y. On the motion of the Chaplygin sleigh along a horizontal plane with friction in the asymmetric case. (English) Zbl 07743332 Russ. J. Nonlinear Dyn. 18, No. 2, 243-251 (2022). MSC: 70E18 70F40 70E20 70K05 PDFBibTeX XMLCite \textit{A. Y. Shamin}, Russ. J. Nonlinear Dyn. 18, No. 2, 243--251 (2022; Zbl 07743332) Full Text: DOI MNR
Abdelsalam, Sara I.; Zaher, A. Z. On behavioral response of ciliated cervical canal on the development of electroosmotic forces in spermatic fluid. (English) Zbl 1511.35266 Math. Model. Nat. Phenom. 17, Paper No. 27, 22 p. (2022). MSC: 35Q35 76W05 37N25 70E20 PDFBibTeX XMLCite \textit{S. I. Abdelsalam} and \textit{A. Z. Zaher}, Math. Model. Nat. Phenom. 17, Paper No. 27, 22 p. (2022; Zbl 1511.35266) Full Text: DOI
Markeev, A. P. On the nonlinear oscillations of a triaxial ellipsoid on a smooth horizontal plane. (English. Russian original) Zbl 1525.70014 Mech. Solids 57, No. 8, 1805-1818 (2022); translation from Prikl. Mat. Mekh. 86, No. 6, 784-800 (2022). MSC: 70E50 70E18 70E20 PDFBibTeX XMLCite \textit{A. P. Markeev}, Mech. Solids 57, No. 8, 1805--1818 (2022; Zbl 1525.70014); translation from Prikl. Mat. Mekh. 86, No. 6, 784--800 (2022) Full Text: DOI
Vetchanin, Evgeniĭ Vladimirovich; Mamaev, Ivan Sergeevich Periodic perturbation of motion of an unbalanced circular foil in the presence of point vortices in an ideal fluid. (Russian. English summary) Zbl 1508.70008 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 32, No. 4, 630-643 (2022). MSC: 70E20 70H05 76B47 PDFBibTeX XMLCite \textit{E. V. Vetchanin} and \textit{I. S. Mamaev}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 32, No. 4, 630--643 (2022; Zbl 1508.70008) Full Text: DOI MNR
Yadav, Sushil; Kumar, Mukesh; Kumar, Virendra Analysis of resonant curve and phase portrait due to Earth’s equatorial ellipticity in the Earth-Moon system using perturbation technique. (English) Zbl 1524.70041 J. Dyn. Syst. Geom. Theor. 20, No. 2, 275-298 (2022). MSC: 70F15 70E20 70H09 PDFBibTeX XMLCite \textit{S. Yadav} et al., J. Dyn. Syst. Geom. Theor. 20, No. 2, 275--298 (2022; Zbl 1524.70041) Full Text: DOI
Aleksandrov, A. Yu.; Tikhonov, A. A. Attitude stabilization of a rigid body under disturbances with zero mean values. (English) Zbl 1508.70034 Acta Mech. 233, No. 3, 1231-1242 (2022). MSC: 70M20 70E50 70E20 70Q05 PDFBibTeX XMLCite \textit{A. Yu. Aleksandrov} and \textit{A. A. Tikhonov}, Acta Mech. 233, No. 3, 1231--1242 (2022; Zbl 1508.70034) Full Text: DOI
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
Andrukhiv, A. I.; Huzyk, N. M.; Sokil, B. I.; Sokil, M. B. Dynamics of flexible drive elements under the action of impulse perturbations. (Ukrainian, English) Zbl 1524.70020 Mat. Metody Fiz.-Mekh. Polya 64, No. 4, 124-132 (2021). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 70E99 74H45 70E20 70K28 PDFBibTeX XMLCite \textit{A. I. Andrukhiv} et al., Mat. Metody Fiz.-Mekh. Polya 64, No. 4, 124--132 (2021; Zbl 1524.70020) Full Text: DOI
Ismail, Ahmad Izani The periodic rotary motions of a rigid body in a new domain of angular velocity. (English) Zbl 1465.70023 J. Egypt. Math. Soc. 29, Paper No. 2, 11 p. (2021). MSC: 70E17 70E20 70E05 70E15 PDFBibTeX XMLCite \textit{A. I. Ismail}, J. Egypt. Math. Soc. 29, Paper No. 2, 11 p. (2021; Zbl 1465.70023) Full Text: DOI
Gorr, G. V.; Balaklitskaya, T. V.; Tkachenko, D. N. On asymptotically uniform motions of a gyrostat under the action of potential and gyroscopic forces. (Russian. English summary) Zbl 1507.70006 Mekh. Tverd. Tela 50, 24-42 (2020). MSC: 70E05 70E20 PDFBibTeX XMLCite \textit{G. V. Gorr} et al., Mekh. Tverd. Tela 50, 24--42 (2020; Zbl 1507.70006) Full Text: Link
Vlakhova, A. V.; Novoderova, A. P. Wheeled vehicle skidding at \(\mu\)-split. (English. Russian original) Zbl 1481.70061 Mosc. Univ. Mech. Bull. 75, No. 5, 127-139 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 5, 38-50 (2020). MSC: 70F40 70E18 70E20 PDFBibTeX XMLCite \textit{A. V. Vlakhova} and \textit{A. P. Novoderova}, Mosc. Univ. Mech. Bull. 75, No. 5, 127--139 (2020; Zbl 1481.70061); translation from Vestn. Mosk. Univ., Ser. I 75, No. 5, 38--50 (2020) Full Text: DOI
Kaplunov, Julius; Şahin, Onur Perturbed rigid body motions of an elastic rectangle. (English) Zbl 1462.74022 Z. Angew. Math. Phys. 71, No. 5, Paper No. 160, 15 p. (2020). MSC: 74B05 74H45 74G10 70E20 PDFBibTeX XMLCite \textit{J. Kaplunov} and \textit{O. Şahin}, Z. Angew. Math. Phys. 71, No. 5, Paper No. 160, 15 p. (2020; Zbl 1462.74022) Full Text: DOI
Minglibayev, Mukhtar; Prokopenya, Alexander; Baisbayeva, Oralkhan Evolution equations of translational-rotational motion of a non-stationary triaxial body in a central gravitational field. (English) Zbl 1474.70017 Theor. Appl. Mech. (Belgrade) 47, No. 1, 63-80 (2020). MSC: 70F15 70E20 PDFBibTeX XMLCite \textit{M. Minglibayev} et al., Theor. Appl. Mech. (Belgrade) 47, No. 1, 63--80 (2020; Zbl 1474.70017) Full Text: DOI
Lyubimov, Vladislav V. Direct and inverse secondary resonance effects in the spherical motion of an asymmetric rigid body with moving masses. (English) Zbl 1457.70011 Acta Mech. 231, No. 12, 4933-4946 (2020). MSC: 70E20 70E50 PDFBibTeX XMLCite \textit{V. V. Lyubimov}, Acta Mech. 231, No. 12, 4933--4946 (2020; Zbl 1457.70011) Full Text: DOI
Chelnokov, Yu. N. Regular quaternion models of perturbed orbital motion of a rigid body in the Earth’s gravitational field. (English. Russian original) Zbl 1465.70014 Mech. Solids 55, No. 7, 958-976 (2020); translation from Prikl. Mat. Mekh. 83, No. 4, 562-585 (2019). MSC: 70E15 70F15 70E20 PDFBibTeX XMLCite \textit{Yu. N. Chelnokov}, Mech. Solids 55, No. 7, 958--976 (2020; Zbl 1465.70014); translation from Prikl. Mat. Mekh. 83, No. 4, 562--585 (2019) Full Text: DOI
Chelnokov, Yu. N. Perturbed spatial two-body problem: regular quaternion equations of relative motion. (English. Russian original) Zbl 1465.70039 Mech. Solids 54, No. 2, 169-178 (2019); translation from Prikl. Mat. Mekh. 82, No. 6, 721-733 (2018). MSC: 70F05 70E20 PDFBibTeX XMLCite \textit{Yu. N. Chelnokov}, Mech. Solids 54, No. 2, 169--178 (2019; Zbl 1465.70039); translation from Prikl. Mat. Mekh. 82, No. 6, 721--733 (2018) Full Text: DOI
Sansottera, Marco; Libert, Anne-Sophie Resonant Laplace-Lagrange theory for extrasolar systems in mean-motion resonance. (English) Zbl 1451.70054 Celest. Mech. Dyn. Astron. 131, No. 8, Paper No. 38, 20 p. (2019). MSC: 70M20 70F10 70E20 PDFBibTeX XMLCite \textit{M. Sansottera} and \textit{A.-S. Libert}, Celest. Mech. Dyn. Astron. 131, No. 8, Paper No. 38, 20 p. (2019; Zbl 1451.70054) Full Text: DOI arXiv
Markeev, Anatoliĭ Pavlovich On periodic motions of a rigid body suspended on a thread in a uniform gravity field. (Russian. English summary) Zbl 1465.70027 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 29, No. 2, 245-260 (2019). MSC: 70E20 70H14 70K28 PDFBibTeX XMLCite \textit{A. P. Markeev}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 29, No. 2, 245--260 (2019; Zbl 1465.70027) 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
Georgievskii, D. V. Isolated stable initial perturbations of unstable equilibria of some mechanical systems. (English. Russian original) Zbl 1476.70074 Mosc. Univ. Mech. Bull. 74, No. 3, 60-64 (2019); translation from Vestn. Mosk. Univ., Ser. I 74, No. 3, 49-54 (2019). Reviewer: Vladimir Sobolev (Samara) MSC: 70K20 70E20 PDFBibTeX XMLCite \textit{D. V. Georgievskii}, Mosc. Univ. Mech. Bull. 74, No. 3, 60--64 (2019; Zbl 1476.70074); translation from Vestn. Mosk. Univ., Ser. I 74, No. 3, 49--54 (2019) Full Text: DOI
Arkhipova, I. M. On stabilization of a triple inverted pendulum via vibration of a support point with an arbitrary frequency. (English. Russian original) Zbl 1455.70005 Vestn. St. Petersbg. Univ., Math. 52, No. 2, 194-198 (2019); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 6(64), No. 2, (2019). MSC: 70E20 70E50 PDFBibTeX XMLCite \textit{I. M. Arkhipova}, Vestn. St. Petersbg. Univ., Math. 52, No. 2, 194--198 (2019; Zbl 1455.70005); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 6(64), No. 2, (2019) Full Text: DOI
Odzijewicz, A.; Sliżewska, A.; Wawreniuk, E. A family of integrable perturbed Kepler systems. (English) Zbl 1467.70003 Russ. J. Math. Phys. 26, No. 3, 368-383 (2019). Reviewer: Zhuo Chen (Beijing) MSC: 70G45 37J40 70E20 PDFBibTeX XMLCite \textit{A. Odzijewicz} et al., Russ. J. Math. Phys. 26, No. 3, 368--383 (2019; Zbl 1467.70003) Full Text: DOI arXiv
Kwiecinski, James A.; Biber, Stanisław W.; Van Gorder, Robert A. Chaotic rotations of a rigid ellipsoidal body exhibiting spin-orbit misalignment in a periodic orbit. (English) Zbl 1423.70054 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 7, Article ID 1930018, 14 p. (2019). MSC: 70K55 70E17 70E20 70F15 PDFBibTeX XMLCite \textit{J. A. Kwiecinski} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 7, Article ID 1930018, 14 p. (2019; Zbl 1423.70054) 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
Bao, Jinrong; Neishtadt, Anatoly Separatrix crossing in rotation of a body with changing geometry of masses. (English) Zbl 1446.70014 SIAM J. Appl. Dyn. Syst. 18, No. 1, 150-171 (2019). MSC: 70E20 70E55 70H11 70K55 70K65 PDFBibTeX XMLCite \textit{J. Bao} and \textit{A. Neishtadt}, SIAM J. Appl. Dyn. Syst. 18, No. 1, 150--171 (2019; Zbl 1446.70014) Full Text: DOI arXiv
Lara, Martin Complex variables approach to the short-axis-mode rotation of a rigid body. (English) Zbl 07664023 Appl. Math. Nonlinear Sci. 3, No. 2, 537-552 (2018). MSC: 70E15 70E20 37M15 PDFBibTeX XMLCite \textit{M. Lara}, Appl. Math. Nonlinear Sci. 3, No. 2, 537--552 (2018; Zbl 07664023) Full Text: DOI
Amer, T. S.; Abady, I. M. On the motion of a gyro in the presence of a Newtonian force field and applied moments. (English) Zbl 1423.70009 Math. Mech. Solids 23, No. 9, 1263-1273 (2018). MSC: 70E05 70E17 70E20 70K65 PDFBibTeX XMLCite \textit{T. S. Amer} and \textit{I. M. Abady}, Math. Mech. Solids 23, No. 9, 1263--1273 (2018; Zbl 1423.70009) Full Text: DOI
Yagasaki, Kazuyuki Heteroclinic transition motions in periodic perturbations of conservative systems with an application to forced rigid body dynamics. (English) Zbl 1412.37063 Regul. Chaotic Dyn. 23, No. 4, 438-457 (2018). MSC: 37J45 37J40 70K44 70E20 PDFBibTeX XMLCite \textit{K. Yagasaki}, Regul. Chaotic Dyn. 23, No. 4, 438--457 (2018; Zbl 1412.37063) Full Text: DOI
Markeev, Anatoliĭ Pavlovich; Sukhoruchkin, Dimitriĭ Andreevich On the dynamics of a pendulum mounted on a movable platform. (Russian. English summary) Zbl 1401.70008 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 28, No. 2, 240-251 (2018). MSC: 70E20 70H14 70K28 PDFBibTeX XMLCite \textit{A. P. Markeev} and \textit{D. A. Sukhoruchkin}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 28, No. 2, 240--251 (2018; Zbl 1401.70008) Full Text: DOI MNR
Amer, T. S.; Amer, W. S. The rotational motion of a symmetric rigid body similar to Kovalevskaya’s case. (English) Zbl 1397.70005 Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 3, 1427-1438 (2018). MSC: 70E05 70E15 70E17 70E20 PDFBibTeX XMLCite \textit{T. S. Amer} and \textit{W. S. Amer}, Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 3, 1427--1438 (2018; Zbl 1397.70005) Full Text: DOI
Amore, Paolo; Fernández, Francisco M. On the straightforward perturbation theory in classical mechanics. (English) Zbl 1421.70012 Eur. J. Phys. 39, No. 5, Article ID 055001, 9 p. (2018). MSC: 70E20 70H09 70K60 97M50 PDFBibTeX XMLCite \textit{P. Amore} and \textit{F. M. Fernández}, Eur. J. Phys. 39, No. 5, Article ID 055001, 9 p. (2018; Zbl 1421.70012) Full Text: DOI arXiv
da Silva, Roberto; Prado, Sandra D.; Fernandes, Henrique A. A new look on the stabilization of inverted pendulum with parametric excitation and large random frequencies: analytical and numerical approaches. (English) Zbl 1470.70007 Commun. Nonlinear Sci. Numer. Simul. 51, 105-114 (2017). MSC: 70E20 70E50 PDFBibTeX XMLCite \textit{R. da Silva} et al., Commun. Nonlinear Sci. Numer. Simul. 51, 105--114 (2017; Zbl 1470.70007) Full Text: DOI arXiv
Akulenko, L. D.; Zinkevich, YA. S.; Kozachenko, T. A.; Leshchenko, D. D. The evolution of the motions of a rigid body close to the Lagrange case under the action of an unsteady torque. (English. Russian original) Zbl 1443.70025 J. Appl. Math. Mech. 81, No. 2, 79-84 (2017); translation from Prikl. Mat. Mekh. 81, No. 2, 115-122 (2017). MSC: 70E20 PDFBibTeX XMLCite \textit{L. D. Akulenko} et al., J. Appl. Math. Mech. 81, No. 2, 79--84 (2017; Zbl 1443.70025); translation from Prikl. Mat. Mekh. 81, No. 2, 115--122 (2017) Full Text: DOI
Vishenkova, Ekaterina Alekseevna; Kholostova, Ol’ga Vladimirovna A study of permanent rotations of a heavy dynamically symmetric rigid body with a vibrating suspension point. (Russian. English summary) Zbl 1401.70009 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 27, No. 4, 590-607 (2017). MSC: 70E20 70E50 PDFBibTeX XMLCite \textit{E. A. Vishenkova} and \textit{O. V. Kholostova}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 27, No. 4, 590--607 (2017; Zbl 1401.70009) Full Text: DOI MNR
Celletti, Alessandra; Paita, Fabrizio; Pucacco, Giuseppe Twist and non-twist regimes of the oblate planet problem. (English) Zbl 1396.37089 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 28, No. 3, 535-552 (2017). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 37N05 70E20 70K50 70M20 PDFBibTeX XMLCite \textit{A. Celletti} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 28, No. 3, 535--552 (2017; Zbl 1396.37089) Full Text: DOI
Vishenkova, Ekaterina Alekseevna; Kholostova, Ol’ga Vladimirovna On the influence of vertical vibrations on the stability of permanent rotations of a rigid body about axes lying in the main plane of inertia. (Russian. English summary) Zbl 1371.70018 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 27, No. 1, 98-120 (2017). MSC: 70E20 70E50 PDFBibTeX XMLCite \textit{E. A. Vishenkova} and \textit{O. V. Kholostova}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 27, No. 1, 98--120 (2017; Zbl 1371.70018) 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
Lukovsky, Ivan A. Nonlinear dynamics. Mathematical models for rigid bodies with a liquid. Reprint of the 2015 hardback edition. (English) Zbl 1364.70004 De Gruyter Studies in Mathematical Physics 27. Berlin: De Gruyter (ISBN 978-3-11-055536-3/pbk; 978-3-11-031657-5/ebook). xvi, 393 p. (2017). MSC: 70-02 70E20 PDFBibTeX XMLCite \textit{I. A. Lukovsky}, Nonlinear dynamics. Mathematical models for rigid bodies with a liquid. Reprint of the 2015 hardback edition. Berlin: De Gruyter (2017; Zbl 1364.70004) Full Text: DOI
Teschl, G. Book review of: I. A. Lukovsky, Nonlinear Dynamics. Mathematical models for rigid bodies with a liquid. (English) Zbl 1358.00082 Monatsh. Math. 182, No. 3, 738 (2017). MSC: 00A17 70-02 70E20 PDFBibTeX XMLCite \textit{G. Teschl}, Monatsh. Math. 182, No. 3, 738 (2017; Zbl 1358.00082) Full Text: DOI
Zabolotnov, Yu. M. The resonance motions of a statically stable Lagrange top at small nutation angles. (English. Russian original) Zbl 1434.70050 J. Appl. Math. Mech. 80, No. 4, 302-310 (2016); translation from Prikl. Mat. Mekh. 80, No. 4, 432-443 (2016). MSC: 70K30 70K65 70E20 70E50 PDFBibTeX XMLCite \textit{Yu. M. Zabolotnov}, J. Appl. Math. Mech. 80, No. 4, 302--310 (2016; Zbl 1434.70050); translation from Prikl. Mat. Mekh. 80, No. 4, 432--443 (2016) Full Text: DOI
Figotin, Alexander; Welters, Aaron On overdamping phenomena in gyroscopic systems composed of high-loss and lossless components. (English) Zbl 1383.70014 J. Math. Phys. 57, No. 4, 042902, 47 p. (2016). MSC: 70H03 70H09 70E05 70E17 70E20 70E55 70F40 35Q70 PDFBibTeX XMLCite \textit{A. Figotin} and \textit{A. Welters}, J. Math. Phys. 57, No. 4, 042902, 47 p. (2016; Zbl 1383.70014) Full Text: DOI arXiv
Mohammadyari, R.; Rahimi-Esbo, M.; Rahgoshay, M. Analytical solution of settling behavior of a particle in incompressible Newtonian fluid by using parameterized perturbation method. (English) Zbl 1412.70008 Bol. Soc. Parana. Mat. (3) 33, No. 2, 143-158 (2015). MSC: 70E20 PDFBibTeX XMLCite \textit{R. Mohammadyari} et al., Bol. Soc. Parana. Mat. (3) 33, No. 2, 143--158 (2015; Zbl 1412.70008) Full Text: Link
Abalakin, I. V.; Bakhvalov, P. A.; Bobkov, V. G.; Kozubskaya, T. K.; Anikin, V. A. Numerical simulation of aerodynamic and acoustic characteristics of rotor in ring. (Russian. English summary) Zbl 1349.70019 Mat. Model. 27, No. 10, 125-144 (2015). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 70E20 76G25 65M50 65M55 PDFBibTeX XMLCite \textit{I. V. Abalakin} et al., Mat. Model. 27, No. 10, 125--144 (2015; Zbl 1349.70019) Full Text: MNR
Vishenkova, Ekaterina A. Stability of special motions (permanent rotations) of a heavy rigid body with a suspension point vibrating along the vertical. (Russian. English summary) Zbl 1381.70015 Nelineĭn. Din. 11, No. 3, 459-474 (2015). MSC: 70E17 70E20 70H14 PDFBibTeX XMLCite \textit{E. A. Vishenkova}, Nelineĭn. Din. 11, No. 3, 459--474 (2015; Zbl 1381.70015) Full Text: DOI MNR
Abouelmagd, Elbaz I.; Guirao, Juan L. G.; Hobiny, Aatef; Alzahrani, Faris Dynamics of a tethered satellite with variable mass. (English) Zbl 1397.70007 Discrete Contin. Dyn. Syst., Ser. S 8, No. 6, 1035-1045 (2015). MSC: 70E17 70E20 70E40 70P05 37C27 PDFBibTeX XMLCite \textit{E. I. Abouelmagd} et al., Discrete Contin. Dyn. Syst., Ser. S 8, No. 6, 1035--1045 (2015; Zbl 1397.70007) Full Text: DOI
Belyaev, A. V. On the general solution of the problem of the motion of a heavy rigid body in the Hess case. (English. Russian original) Zbl 1397.70006 Sb. Math. 206, No. 5, 621-649 (2015); translation from Mat. Sb. 206, No. 5, 5-34 (2015). Reviewer: Clementina Mladenova (Sofia) MSC: 70E15 70E20 70E40 70E50 PDFBibTeX XMLCite \textit{A. V. Belyaev}, Sb. Math. 206, No. 5, 621--649 (2015; Zbl 1397.70006); translation from Mat. Sb. 206, No. 5, 5--34 (2015) Full Text: DOI
Kholostova, Olga V. On the stability of the specific motions of a heavy rigid body due to fast vertical vibrations of one of its points. (Russian. English summary) Zbl 1353.70010 Nelineĭn. Din. 11, No. 1, 99-116 (2015). MSC: 70E17 70E20 70H14 PDFBibTeX XMLCite \textit{O. V. Kholostova}, Nelineĭn. Din. 11, No. 1, 99--116 (2015; Zbl 1353.70010) Full Text: DOI MNR
Lukovsky, Ivan A. Nonlinear dynamics. Mathematical models for rigid bodies with a liquid. (English) Zbl 1339.70007 De Gruyter Studies in Mathematical Physics 27. Berlin: De Gruyter (ISBN 978-3-11-031655-1/hbk). xvi, 393 p. (2015). Reviewer: Teodor Atanacković (Novi Sad) MSC: 70-02 70E20 PDFBibTeX XMLCite \textit{I. A. Lukovsky}, Nonlinear dynamics. Mathematical models for rigid bodies with a liquid. Berlin: De Gruyter (2015; Zbl 1339.70007) Full Text: DOI
Morozov, V. M.; Ilinskaya, A. V.; Zhe, Hjao Stability of relative equilibrium of rigid body on revolving elastic rod. (Russian. English summary) Zbl 1324.70010 Mat. Model. 26, No. 10, 20-30 (2014). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 70E20 70E50 70H03 PDFBibTeX XMLCite \textit{V. M. Morozov} et al., Mat. Model. 26, No. 10, 20--30 (2014; Zbl 1324.70010) Full Text: MNR
Iams, Sarah; Guckenheimer, John Flight stability of mosquitos: a reduced model. (English) Zbl 1345.92025 SIAM J. Appl. Math. 74, No. 5, 1535-1550 (2014). MSC: 92C10 70E20 PDFBibTeX XMLCite \textit{S. Iams} and \textit{J. Guckenheimer}, SIAM J. Appl. Math. 74, No. 5, 1535--1550 (2014; Zbl 1345.92025) Full Text: DOI
Lara, Martin Short-axis-mode rotation of a free rigid body by perturbation series. (English) Zbl 1298.70002 Celest. Mech. Dyn. Astron. 118, No. 3, 221-234 (2014). MSC: 70E20 70E15 70H20 70F15 PDFBibTeX XMLCite \textit{M. Lara}, Celest. Mech. Dyn. Astron. 118, No. 3, 221--234 (2014; Zbl 1298.70002) Full Text: DOI arXiv Link
Antognini, Francesco; Biasco, Luca; Chierchia, Luigi The spin-orbit resonances of the solar system: a mathematical treatment matching physical data. (English) Zbl 1302.70034 J. Nonlinear Sci. 24, No. 3, 473-492 (2014). MSC: 70F15 70F40 70E20 70G70 70H09 70H12 34C23 34C25 34C60 34D10 PDFBibTeX XMLCite \textit{F. Antognini} et al., J. Nonlinear Sci. 24, No. 3, 473--492 (2014; Zbl 1302.70034) Full Text: DOI arXiv
Klein, Felix; Sommerfeld, Arnold [Eckert, Michael] The theory of the top. Volume IV. Technical applications of the theory of the top. Translated from the German by Guido Sandri and Raymond J. Nagem. With a foreword by Michael Eckert. (English) Zbl 1305.70002 New York, NY: Birkhäuser/Springer (ISBN 978-0-8176-4826-8/hbk; 978-0-8176-4829-9/ebook). xiv, 761-1009. (2014). MSC: 70-03 01A75 01A55 01A60 70E15 70E20 PDFBibTeX XMLCite \textit{F. Klein} and \textit{A. Sommerfeld}, The theory of the top. Volume IV. Technical applications of the theory of the top. Translated from the German by Guido Sandri and Raymond J. Nagem. With a foreword by Michael Eckert. New York, NY: Birkhäuser/Springer (2014; Zbl 1305.70002) Full Text: DOI
Guirao, Juan L. G.; Vera, Juan A.; Wade, Bruce A. On the periodic solutions of a rigid dumbbell satellite in a circular orbit. (English) Zbl 1284.70015 Astrophys. Space Sci. 346, No. 2, 437-442 (2013). MSC: 70F05 70E20 34C25 34A12 70F15 70M20 PDFBibTeX XMLCite \textit{J. L. G. Guirao} et al., Astrophys. Space Sci. 346, No. 2, 437--442 (2013; Zbl 1284.70015) Full Text: DOI arXiv
Lynch, Peter; Bustamante, Miguel D. Quaternion solution for the rock’n’roller: box orbits, loop orbits and recession. (English) Zbl 1273.70007 Regul. Chaotic Dyn. 18, No. 1-2, 166-183 (2013). MSC: 70E18 70E20 70H07 PDFBibTeX XMLCite \textit{P. Lynch} and \textit{M. D. Bustamante}, Regul. Chaotic Dyn. 18, No. 1--2, 166--183 (2013; Zbl 1273.70007) Full Text: DOI arXiv
Lhotka, Christoph A symplectic mapping for the synchronous spin-orbit problem. (English) Zbl 1266.70034 Celest. Mech. Dyn. Astron. 115, No. 4, 405-426 (2013). MSC: 70H09 70E20 70E40 PDFBibTeX XMLCite \textit{C. Lhotka}, Celest. Mech. Dyn. Astron. 115, No. 4, 405--426 (2013; Zbl 1266.70034) Full Text: DOI
Vishenkova, E. A.; Kholostova, O. V. To dynamics of a double pendulum with a horizontally vibrating point of suspension. (Russian. English summary) Zbl 1299.70013 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 2012, No. 2, 114-129 (2012). MSC: 70E20 70K50 PDFBibTeX XMLCite \textit{E. A. Vishenkova} and \textit{O. V. Kholostova}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 2012, No. 2, 114--129 (2012; Zbl 1299.70013) Full Text: DOI MNR
Gashenenko, I. N.; Gorr, G. V.; Kovalev, A. M. Classical problems of the dynamics of a rigid body. (Классические задачи динамики твердого тела.) (Russian) Zbl 1284.70002 Zadachi i Metody. Matematika, Mekhanika, Kibernetika 7. Kyïv: Naukova Dumka (ISBN 978-966-001307-0). 402 P. (2012). MSC: 70-02 70E15 70E20 PDFBibTeX XMLCite \textit{I. N. Gashenenko} et al., Классические задачи динамики твердого тела (Russian). Kyïv: Naukova Dumka (2012; Zbl 1284.70002) Full Text: Link
Zhang, Hui; Ma, Tian-Wei Iterative harmonic balance for period-one rotating solution of parametric pendulum. (English) Zbl 1268.70006 Nonlinear Dyn. 70, No. 4, 2433-2444 (2012). MSC: 70E20 70E17 34D10 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{T.-W. Ma}, Nonlinear Dyn. 70, No. 4, 2433--2444 (2012; Zbl 1268.70006) Full Text: DOI
Sheheitli, Hiba; Rand, Richard H. Dynamics of a mass-spring-pendulum system with vastly different frequencies. (English) Zbl 1267.34065 Nonlinear Dyn. 70, No. 1, 25-41 (2012). MSC: 34C15 34E20 70E20 34E10 PDFBibTeX XMLCite \textit{H. Sheheitli} and \textit{R. H. Rand}, Nonlinear Dyn. 70, No. 1, 25--41 (2012; Zbl 1267.34065) Full Text: DOI
Ocheretnyuk, E. V. Terms of losing stability of stationary rotation rigid body suspended on a string of variable length. (Russian. English summary) Zbl 1264.70021 Mekh. Tverd. Tela 42, 103-111 (2012). MSC: 70E20 70E50 PDFBibTeX XMLCite \textit{E. V. Ocheretnyuk}, Mekh. Tverd. Tela 42, 103--111 (2012; Zbl 1264.70021)
Dragović, Vladimir; Gajić, Borislav On the cases of Kirchhoff and Chaplygin of the Kirchhoff equations. (English) Zbl 1252.70022 Regul. Chaotic Dyn. 17, No. 5, 431-438 (2012). MSC: 70E40 70E45 70E20 PDFBibTeX XMLCite \textit{V. Dragović} and \textit{B. Gajić}, Regul. Chaotic Dyn. 17, No. 5, 431--438 (2012; Zbl 1252.70022) Full Text: DOI arXiv
Klein, Felix; Sommerfeld, Arnold The theory of the top. Volume III. Perturbations. Astronomical and geophysical applications. Translated from the German by Raymond J. Nagem and Guido Sandri. Foreword to Volume III by Michael Eckert. (English) Zbl 1256.70001 Boston, MA: Birkhäuser (ISBN 978-0-8176-4825-1/hbk; 978-0-8176-4828-2/ebook). xiii, 530-829 p. (2012). Reviewer: Piero Villaggio (Pisa) MSC: 70-02 70E18 70E20 70F15 86A04 01A75 PDFBibTeX XMLCite \textit{F. Klein} and \textit{A. Sommerfeld}, The theory of the top. Volume III. Perturbations. Astronomical and geophysical applications. Translated from the German by Raymond J. Nagem and Guido Sandri. Foreword to Volume III by Michael Eckert. Boston, MA: Birkhäuser (2012; Zbl 1256.70001) Full Text: DOI
Danaee Barforoushi, Saeed; Rahimi, Mostafa; Danaee, Siavash Homotopy perturbation method for solving governing equation of nonlinear free vibration of systems with serial linear and nonlinear stiffness on a frictionless contact surface. (English) Zbl 1289.70033 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 73, No. 4, 107-118 (2011). MSC: 70K60 70-08 34C15 65L99 70E18 70E20 PDFBibTeX XMLCite \textit{S. Danaee Barforoushi} et al., Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 73, No. 4, 107--118 (2011; Zbl 1289.70033)
Hu, H.; Zheng, M. Y. A note on the two-variable expansion method. (English) Zbl 1370.70027 Acta Mech. 216, No. 1-4, 351-357 (2011). MSC: 70E20 PDFBibTeX XMLCite \textit{H. Hu} and \textit{M. Y. Zheng}, Acta Mech. 216, No. 1--4, 351--357 (2011; Zbl 1370.70027) Full Text: DOI
Belyakov, A. O.; Seyranian, A. P. The hula-hoop problem. (English. Russian original) Zbl 1257.70012 Dokl. Phys. 55, No. 2, 99-104 (2010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, 430, No. 6, 761-766 (2010). MSC: 70E20 70K20 PDFBibTeX XMLCite \textit{A. O. Belyakov} and \textit{A. P. Seyranian}, Dokl. Phys. 55, No. 2, 99--104 (2010; Zbl 1257.70012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, 430, No. 6, 761--766 (2010) Full Text: DOI
Zilio, Silvio Dynamics of a test rigid body from a minimal action principle. (English) Zbl 1186.83028 Classical Quantum Gravity 27, No. 5, Article ID 055004, 23 p. (2010). MSC: 83C10 83C25 70E20 PDFBibTeX XMLCite \textit{S. Zilio}, Classical Quantum Gravity 27, No. 5, Article ID 055004, 23 p. (2010; Zbl 1186.83028) Full Text: DOI HAL
Puzyrev, V. E.; Suĭkov, A. S. On the motion of a rigid body about the center of mass with partial energy dissipation. (Russian) Zbl 1486.70037 Mekh. Tverd. Tela 39, 157-166 (2009). MSC: 70E17 70E20 70K99 PDFBibTeX XMLCite \textit{V. E. Puzyrev} and \textit{A. S. Suĭkov}, Mekh. Tverd. Tela 39, 157--166 (2009; Zbl 1486.70037) Full Text: Link
Kozachenko, T. A.; Leshchenko, D. D. Perturbed rotational motions of the Lagrange top. (Russian) Zbl 1486.70043 Mekh. Tverd. Tela 39, 62-68 (2009). MSC: 70E20 70E17 PDFBibTeX XMLCite \textit{T. A. Kozachenko} and \textit{D. D. Leshchenko}, Mekh. Tverd. Tela 39, 62--68 (2009; Zbl 1486.70043) Full Text: Link
Migutsa, D. O. Investigation of the equations of motion of a rigid body with single-valued integrals relative to nonmain axes of inertia. (Ukrainian. English summary) Zbl 1240.70005 Nauk. Visn. Chernivets’kogo Univ., Mat. 485, 62-70 (2009). MSC: 70E20 PDFBibTeX XMLCite \textit{D. O. Migutsa}, Nauk. Visn. Chernivets'kogo Univ., Mat. 485, 62--70 (2009; Zbl 1240.70005)
Kostov, N. A.; Tsiganov, A. V. New Lax pair for restricted multiple three wave interaction system, quasiperiodic solutions and bi-Hamiltonian structure. (English) Zbl 1229.37094 Regul. Chaotic Dyn. 13, No. 6, 593-601 (2008). MSC: 37K10 70E20 70K05 37N10 PDFBibTeX XMLCite \textit{N. A. Kostov} and \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 13, No. 6, 593--601 (2008; Zbl 1229.37094) Full Text: DOI arXiv
Amer, T. S. On the rotational motion of a gyrostat about a fixed point with mass distribution. (English) Zbl 1198.70004 Nonlinear Dyn. 54, No. 3, 189-198 (2008). MSC: 70E17 70E05 70E20 PDFBibTeX XMLCite \textit{T. S. Amer}, Nonlinear Dyn. 54, No. 3, 189--198 (2008; Zbl 1198.70004) Full Text: DOI
Aron, Anania; Pop, Camelia; Puta, Mircea New examples for the existence of periodic orbits in the case of a zero eigenvalue. (English) Zbl 1174.70001 Andrica, Dorin (ed.) et al., Contemporary geometry and topology and related topics. Proceedings of the 8th international workshop on differential geometry and its applications, Cluj-Napoca, Romania, August 19–25, 2005. Cluj-Napoca: Cluj University Press. 55-62 (2008). Reviewer: George Karakostas (Ioannina) MSC: 70E20 34C25 PDFBibTeX XMLCite \textit{A. Aron} et al., in: Contemporary geometry and topology and related topics. Proceedings of the 8th international workshop on differential geometry and its applications, Cluj-Napoca, Romania, August 19--25, 2005. Cluj-Napoca: Cluj University Press. 55--62 (2008; Zbl 1174.70001)
Benettin, Giancarlo; Guzzo, Massimiliano; Neishtadt, Anatoly A new problem of adiabatic invariance related to the rigid body dynamics. (English) Zbl 1342.70052 Discrete Contin. Dyn. Syst. 21, No. 3, 959-975 (2008). MSC: 70H11 70E20 37J40 PDFBibTeX XMLCite \textit{G. Benettin} et al., Discrete Contin. Dyn. Syst. 21, No. 3, 959--975 (2008; Zbl 1342.70052) Full Text: DOI
Gurfil, P.; Elipe, A.; Tangren, W.; Efroimsky, M. The Serret-Andoyer formalism in rigid-body dynamics. I. Symmetries and perturbations. (English) Zbl 1229.37112 Regul. Chaotic Dyn. 12, No. 4, 389-425 (2007). MSC: 37N05 70E15 70E20 70F15 93D05 PDFBibTeX XMLCite \textit{P. Gurfil} et al., Regul. Chaotic Dyn. 12, No. 4, 389--425 (2007; Zbl 1229.37112) Full Text: DOI arXiv
Shchetinina, E. K. On one class of asymptotic-precession motions of spherical gyrostat under the influence potential and gyroscopic forces. (Russian. English summary) Zbl 1164.70001 Din. Sist., Simferopol’ 23, 39-46 (2007). Reviewer: I. T. Selezov (Kyïv) MSC: 70E05 70E20 PDFBibTeX XMLCite \textit{E. K. Shchetinina}, Din. Sist., Simferopol' 23, 39--46 (2007; Zbl 1164.70001)
Efroimsky, Michael; Escapa, Alberto The theory of canonical perturbations applied to attitude dynamics and to the Earth rotation. Osculating and nonosculating Andoyer variables. (English) Zbl 1136.70313 Celest. Mech. Dyn. Astron. 98, No. 4, 251-283 (2007). MSC: 70F15 70E20 70H05 70M20 PDFBibTeX XMLCite \textit{M. Efroimsky} and \textit{A. Escapa}, Celest. Mech. Dyn. Astron. 98, No. 4, 251--283 (2007; Zbl 1136.70313) Full Text: DOI arXiv
Díaz-Cano, A.; González-Gascón, F. Collision orbits in the presence of perturbations. (English) Zbl 1142.70310 Phys. Lett., A 358, No. 3, 199-202 (2006). MSC: 70E20 PDFBibTeX XMLCite \textit{A. Díaz-Cano} and \textit{F. González-Gascón}, Phys. Lett., A 358, No. 3, 199--202 (2006; Zbl 1142.70310) Full Text: DOI
Benettin, G.; Fassò, F.; Guzzo, M. Long term stability of proper rotations and local chaotic motions in the perturbed Euler rigid body. (English) Zbl 1133.70310 Regul. Chaotic Dyn. 11, No. 1, 1-17 (2006). MSC: 70E20 37J40 70-08 70E17 70H08 PDFBibTeX XMLCite \textit{G. Benettin} et al., Regul. Chaotic Dyn. 11, No. 1, 1--17 (2006; Zbl 1133.70310) Full Text: DOI
Broer, H. W.; Hanßmann, H.; Hoo, J.; Naudot, V. Nearly-integrable perturbations of the Lagrange top: applications of KAM-theory. (English) Zbl 1125.70003 Denteneer, Dee (ed.) et al., Dynamics and stochastics. Festschrift in honor of M. S. Keane. Selected papers based on the presentations at the conference ‘Dynamical systems, probability theory, and statistical mechanics’, Eindhoven, The Netherlands, January 3–7, 2005, on the occasion of the 65th birthday of Mike S. Keane. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 0-940600-64-1/pbk). Institute of Mathematical Statistics Lecture Notes - Monograph Series 48, 286-303 (2006). MSC: 70E20 70E05 37J40 70H08 PDFBibTeX XMLCite \textit{H. W. Broer} et al., IMS Lect. Notes, Monogr. Ser. 48, 286--303 (2006; Zbl 1125.70003) Full Text: DOI arXiv
Enz, U. Rotating Hopf-kinks: a realistic particle model. (English) Zbl 1102.81072 Physica D 223, No. 1, 1-6 (2006). MSC: 81V25 70E20 PDFBibTeX XMLCite \textit{U. Enz}, Physica D 223, No. 1, 1--6 (2006; Zbl 1102.81072) Full Text: DOI
Efroimsky, Michael Gauge freedom in orbital mechanics. (English) Zbl 1136.70312 Ann. N. Y. Acad. Sci. 1065, 346-374 (2005). MSC: 70F15 70E20 70H05 70M20 PDFBibTeX XMLCite \textit{M. Efroimsky}, Ann. N. Y. Acad. Sci. 1065, 346--374 (2005; Zbl 1136.70312) Full Text: DOI arXiv
Benettin, Giancarlo Physical applications of Nekhoroshev theorem and exponential estimates. (English) Zbl 1101.70012 Giorgilli, Antonio (ed.), Hamiltonian dynamics. Theory and applications. Lectures given at the C.I.M.E.-E.M.S. summer school, held in Cetraro, Italy, July 1–10, 1999. Berlin: Springer (ISBN 3-540-24064-4/pbk). Lecture Notes in Mathematics 1861, 1-76 (2005). Reviewer: Alexei Tsygvintsev (Lyon) MSC: 70H09 70H15 70H14 70E20 70F15 37N05 PDFBibTeX XMLCite \textit{G. Benettin}, Lect. Notes Math. 1861, 1--76 (2005; Zbl 1101.70012)
Waiboer, R. R.; Aarts, R. G. K. M.; Jonker, J. B. Application of a perturbation method for realistic dynamic simulation of industrial robots. (English) Zbl 1130.70315 Multibody Syst. Dyn. 13, No. 3, 323-338 (2005). MSC: 70E60 70E20 PDFBibTeX XMLCite \textit{R. R. Waiboer} et al., Multibody Syst. Dyn. 13, No. 3, 323--338 (2005; Zbl 1130.70315) Full Text: DOI
Kuang, J. L.; Leung, A. Y. T. Homoclinic orbits of the Kovalevskaya top with perturbations. (English) Zbl 1088.37031 ZAMM, Z. Angew. Math. Mech. 85, No. 4, 277-302 (2005). MSC: 37J45 70E20 37C29 37J40 70E40 70H05 70K55 37N05 PDFBibTeX XMLCite \textit{J. L. Kuang} and \textit{A. Y. T. Leung}, ZAMM, Z. Angew. Math. Mech. 85, No. 4, 277--302 (2005; Zbl 1088.37031) Full Text: DOI
Liu, J. K.; Chan, H. C. Universal matrix perturbation method for structural dynamic reanalysis of general damped gyroscopic systems. (English) Zbl 1078.70023 J. Vib. Control 10, No. 4, 525-541 (2004). MSC: 70Q05 70E20 70E05 93C73 PDFBibTeX XMLCite \textit{J. K. Liu} and \textit{H. C. Chan}, J. Vib. Control 10, No. 4, 525--541 (2004; Zbl 1078.70023) Full Text: DOI
Benettin, Giancarlo; Fassò, Francesco; Guzzo, Massimiliano Long term stability of proper rotations of the perturbed Euler rigid body. (English) Zbl 1087.70003 Commun. Math. Phys. 250, No. 1, 133-160 (2004). MSC: 70E20 70E17 70E50 37J40 PDFBibTeX XMLCite \textit{G. Benettin} et al., Commun. Math. Phys. 250, No. 1, 133--160 (2004; Zbl 1087.70003) Full Text: DOI
Martínez Alfaro, J.; López Machí, R. Equilibrium points and Hill’s regions in the \(1+2\) and \(2+2\) problem. (English) Zbl 1147.70310 Celest. Mech. Dyn. Astron. 90, No. 3-4, 179-195 (2004). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 70F10 70F15 70E20 PDFBibTeX XMLCite \textit{J. Martínez Alfaro} and \textit{R. López Machí}, Celest. Mech. Dyn. Astron. 90, No. 3--4, 179--195 (2004; Zbl 1147.70310) Full Text: DOI
Iñarrea, M.; Lanchares, V.; Rothos, V. M.; Salas, J. P. Chaotic rotations of an asymmetric body with time-dependent moments of inertia and viscous drag. (English) Zbl 1129.70304 Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 2, 393-409 (2003). MSC: 70E17 37N05 70E20 70K55 PDFBibTeX XMLCite \textit{M. Iñarrea} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 2, 393--409 (2003; Zbl 1129.70304) Full Text: DOI
El-Gohary, Awad Optimal control of an angular motion of a rigid body during infinite and finite time intervals. (English) Zbl 1041.70022 Appl. Math. Comput. 141, No. 2-3, 541-551 (2003). MSC: 70Q05 70E50 70E20 93C15 PDFBibTeX XMLCite \textit{A. El-Gohary}, Appl. Math. Comput. 141, No. 2--3, 541--551 (2003; Zbl 1041.70022) Full Text: DOI
Elipe, Antonio Rotations of perturbed triaxial rigid bodies. (English) Zbl 1194.70010 Int. J. Theor. Phys. Group Theory Nonlinear Opt. 8, No. 2, 163-196 (2002). MSC: 70E17 70E20 70F15 70H05 PDFBibTeX XMLCite \textit{A. Elipe}, Int. J. Theor. Phys. Group Theory Nonlinear Opt. 8, No. 2, 163--196 (2002; Zbl 1194.70010)
Bruno, A. D. The analysis of the Euler-Poisson equations by methods of power geometry. (Russian) Zbl 1079.70003 Mekh. Tverd. Tela 32, 3-15 (2002). Reviewer: Igor Nikolaevich Gashenenko (Donetsk) MSC: 70E17 70E20 PDFBibTeX XMLCite \textit{A. D. Bruno}, Mekh. Tverd. Tela 32, 3--15 (2002; Zbl 1079.70003)
Akulenko, L. D.; Kozachenko, T. A.; Leshchenko, D. D. Perturbed rotational motions of a rigid body under the action of nonstationary restoring moment. (Russian) Zbl 1055.70002 Mekh. Tverd. Tela 32, 77-84 (2002). Reviewer: Boris Ivanovich Konosevich (Donetsk) MSC: 70E20 70E17 70K65 70K70 PDFBibTeX XMLCite \textit{L. D. Akulenko} et al., Mekh. Tverd. Tela 32, 77--84 (2002; Zbl 1055.70002)
Ismail, A. I.; Amer, T. S. The fast spinning motion of a rigid body in the presence of a gyrostatic momentum \(\ell_3\). (English) Zbl 1017.70005 Acta Mech. 154, No. 1-4, 31-46 (2002). MSC: 70E17 70E20 PDFBibTeX XMLCite \textit{A. I. Ismail} and \textit{T. S. Amer}, Acta Mech. 154, No. 1--4, 31--46 (2002; Zbl 1017.70005) Full Text: DOI
Markeev, A. P. On the dynamics of a solid on an absolutely rough plane. (English) Zbl 1058.70005 Regul. Chaotic Dyn. 7, No. 2, 153-160 (2002). Reviewer: I. A. Taimanov (Novosibirsk) MSC: 70-03 70E18 70E20 01A75 PDFBibTeX XMLCite \textit{A. P. Markeev}, Regul. Chaotic Dyn. 7, No. 2, 153--160 (2002; Zbl 1058.70005)
Xue, Yun; Chen, Liqun Averaging analysis of self-excited motion of a quasi-axisymmetrical gyrostat. (English) Zbl 1045.70005 J. Shanghai Univ. 6, No. 2, 125-129 (2002). Reviewer: Liu Yanzhu (Shanghai) MSC: 70E05 70E20 70Q05 PDFBibTeX XMLCite \textit{Y. Xue} and \textit{L. Chen}, J. Shanghai Univ. 6, No. 2, 125--129 (2002; Zbl 1045.70005) Full Text: DOI
Konosevich, B. I. On application of the asymptotic methods in flight theory of the axisymmetric shell. (Russian) Zbl 1136.70306 Mekh. Tverd. Tela 31, 63-75 (2001). MSC: 70E15 70E20 PDFBibTeX XMLCite \textit{B. I. Konosevich}, Mekh. Tverd. Tela 31, 63--75 (2001; Zbl 1136.70306)
Akulenko, L. D.; Kozachenko, T. A.; Leshchenko, D. D. Perturbed rotary motions of the solid body under the action of the non-stationary restoring moment, depending on the nutation angle. (Russian) Zbl 1047.70592 Mekh. Tverd. Tela 31, 57-62 (2001). Reviewer: Boris Ivanovich Konosevich (Donetsk) MSC: 70E20 70E17 PDFBibTeX XMLCite \textit{L. D. Akulenko} et al., Mekh. Tverd. Tela 31, 57--62 (2001; Zbl 1047.70592)
Golnaraghi, M. Farid; Jazar, G. Nakhaie Development and analysis of a simplified nonlinear model of a hydraulic engine mount. (English) Zbl 1006.70504 J. Vib. Control 7, No. 4, 495-526 (2001). MSC: 70E55 70E20 PDFBibTeX XMLCite \textit{M. F. Golnaraghi} and \textit{G. N. Jazar}, J. Vib. Control 7, No. 4, 495--526 (2001; Zbl 1006.70504) Full Text: DOI