Open Access
| Issue |
MATEC Web of Conferences
Volume 362, 2022
XXII International Conference on Computational Mechanics and Modern Applied Software Systems (CMMASS 2021)
|
|
|---|---|---|
| Article Number | 01003 | |
| Number of page(s) | 9 | |
| DOI | https://doi.org/10.1051/matecconf/202236201003 | |
| Published online | 14 September 2022 | |
- A.P. Markeev, The stability of the plane motions of a rigid body in the Kovalevskaya case J. Appl. Math. Mech., 65(1), 51 (2001) [Google Scholar]
- A.P. Markeev, S.V. Medvedev, T.N. Chekhovskaya, To the problem of stability of pendulum-like vibrations of a rigid body in Kovalevskaya’s case, Mech. Solids, 38(1), 1 (2003) [Google Scholar]
- V.D. Irtegov, The Stability of the Pendulum-like Oscillations of a Kovalevskaya Gyroscope, Trudy Kazan. Aviats. Inst. Matematika i Mekhanika, 97, 38 (1968) [Google Scholar]
- A.Z. Bryum, A Study of Orbital Stability by Means of First Integrals, J. Appl. Math. Mech., 53(6), 689 (1989) [CrossRef] [Google Scholar]
- A.Z. Bryum, A.Ya. Savchenko, On the orbital stability of a periodic solution of the equations of motion of a Kovalevskaya gyroscope, J. Appl. Math. Mech., 50(6), 748 (1986) [CrossRef] [Google Scholar]
- B.S. Bardin, Stability problem for pendulum-type motions of a rigid body in the Goryachev-Chaplygin case, Mech. Solids, 42(2), 177 (2007) [CrossRef] [Google Scholar]
- B.S. Bardin, On a Method of Introducing Local Coordinates in the Problem of the Orbital Stability of Planar Periodic Motions of a Rigid Body, Rus. J. Nonlin. Dyn., 16(4), 581 (2020) [Google Scholar]
- A.P. Markeev, The pendulum-like motions of a rigid body in the Goryachev-Chaplygin case, J. Appl. Math. Mech., 68(2), 249 (2004) [CrossRef] [Google Scholar]
- B.S. Bardin, T.V. Rudenko, A.A. Savin, On the Orbital Stability of Planar Periodic Motions of a Rigid Body in the Bobylev-Steklov Case, Regul. Chaotic Dyn., 17(6), 533 (2012) [CrossRef] [Google Scholar]
- B.S. Bardin, Local coordinates in problem of the orbital stability of pendulum-like oscillations of a heavy rigid body in the Bobylev-Steklov case, J. Phys.: Conf. Ser., 1925, 012016 (2021) [CrossRef] [Google Scholar]
- B.S. Bardin, A.A. Savin, On the Orbital Stability of Pendulum-like Oscillations and Rotations of a Symmetric Rigid Body with a Fixed Point, Regul. Chaotic Dyn., 17(3-4), 243 (2012) [CrossRef] [Google Scholar]
- B.S. Bardin, A.A. Savin, The stability of the plane periodic motions of a symmetrical rigid body with a fixed point, J. Appl. Math. Mech., 77(6), 806 (2014) [Google Scholar]
- H.M. Yehia, S.Z. Hassan, M.E. Shaheen, On the orbital stability of the motion of a rigid body in the case of Bobylev-Steklov, Nonlinear Dyn., 80(3), 1173 (2015) [CrossRef] [Google Scholar]
- H.M. Yehia, E.G. El-Hadidy, On the Orbital Stability of Pendulum-like Vibrations of a Rigid Body Carrying a Rotor, Regul. Chaotic Dyn., 18(5), 539 (2013) [CrossRef] [Google Scholar]
- A.P. Markeev, On the identity resonance in a particular case of the problem of stability of periodic motions of a rigid body, Mech. Solids, 38(3), 22 (2013) [Google Scholar]
- A.P. Markeev, Linear Hamiltonian Systems and some problems of stability of the satellite center of mass (Research Center “Regular and Chaotic Dynamics”, Institute of Computer Research, Izhevsk, 2009) [Google Scholar]
- A.P. Markeev, Libration Points in Celestial Mechanics and Space Dynamics (Nauka, Moscow, 1978) [Google Scholar]
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