Resonances and asymptotic trajectories in Hamiltonian systems

DOI10.1016/0021-8928(90)90029-AzbMath0739.70012OpenAlexW2150211204MaRDI QIDQ1180850

Anatoliy P. Markeev

Publication date: 27 June 1992

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(90)90029-a

zbMATH Keywords

Hamiltonian systemequilibrium stateanalytical representationasymptotic motionsfourth-order resonance

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items

Lyapunov's first method for strongly non-linear systems ⋮ Third-order resonance in a Hamiltonian system with one degree of freedom ⋮ On solutions with generalized power asymptotics to systems of differential equations ⋮ Amplitude modulated chaos in two-degree-of-freedom systems with quadratic nonlinearities ⋮ Asymptotic solutions of Hamiltonian systems with first-order resonance

Cites Work

• Asymptotic solutions of equations of classical mechanics
• On the asymptotic solutions of the equations of motion of mechanical systems
• Asymptotic motions and the inversion of the Lagrange-Dirichlet theorem
• On motions asymptotic to triangular points of libration of the restricted circular three-body problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item