Asymptotic trajectories and the stability of the periodic motions of an autonomous Hamiltonian system with two degrees of freedom

DOI10.1016/0021-8928(88)90079-2zbMath0696.70012OpenAlexW2107305695MaRDI QIDQ911334

Anatoliy P. Markeev

Publication date: 1988

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(88)90079-2

zbMATH Keywords

periodic trajectoriesHamiltonian systemorbital instability

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Hamilton's equations (70H05) Stability for problems in linear vibration theory (70J25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (3)

Solutions homoclinic to regular precessions of a symmetric satellite ⋮ Periodic rotations of a rigid body located at the libration point ⋮ Amplitude modulated chaos in two-degree-of-freedom systems with quadratic nonlinearities

Cites Work

• The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
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