Third-order resonance in a Hamiltonian system with one degree of freedom

DOI10.1016/0021-8928(94)90004-3zbMath0884.58047OpenAlexW1979397550MaRDI QIDQ1369929

Anatoliy P. Markeev

Publication date: 3 November 1997

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(94)90004-3

zbMATH Keywords

equilibrium pointnearly integrable Hamiltonian systemthird-order resonanceone degree of freedom

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (5)

The behaviour of a nonlinear Hamiltonian system with one degree of freedom at the boundary of a parametric resonance domain ⋮ Soliton-like oscillations of an infinite beam on a non-linearly elastic support ⋮ Integrals of motion in time-periodic Hamiltonian systems: the case of the Mathieu equation ⋮ On periodic motions of a symmetrical satellite in an orbit with small eccentricity in the case of multiple combinational resonance of the third and fourth orders ⋮ Order and chaos in time periodic Hamiltonian systems

Cites Work

• Estimates in the Kolmogorov theorem on conservation of conditionally periodic motions
• Resonances and asymptotic trajectories in Hamiltonian systems
• Regular and stochastic motion
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
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