On periodic motions of a nonautonomous Hamiltonian system in one case of multiple parametric resonance

DOI10.20537/nd1704003zbMath1387.70021OpenAlexW2775910500MaRDI QIDQ4605664

Olga V. Kholostova

Publication date: 23 February 2018

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/nd580

zbMATH Keywords

stabilityHamiltonian systemperiodic motionscylindrical precession of a satellitemultiple parametric resonance

Mathematics Subject Classification ID

Orbital mechanics (70M20) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Nearly integrable Hamiltonian systems, KAM theory (70H08) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (9)

First approximation formulas in the problem of perturbation of definite and indefinite multipliers of linear Hamiltonian systems ⋮ Perturbation theory methods in problem of parametric resonance for linear periodic Hamiltonian systems ⋮ On Nonlinear Oscillations of a Time-Periodic Hamiltonian System at a 2:1:1 Resonance ⋮ On multiple fourth-order resonances in a nonautonomous two-degree-of-freedom Hamiltonian system ⋮ On periodic motions of a nearly autonomous Hamiltonian system in the occurrence of double parametric resonance ⋮ On the motions of one near-autonomous Hamiltonian system at a 1:1:1 resonance ⋮ 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 ⋮ On Nonlinear Oscillations of a Near-Autonomous Hamiltonian System in the Case of Two Identical Integer or Half-Integer Frequencies ⋮ On Nonlinear Oscillations and Stability of Coupled Pendulums in the Case of a Multiple Resonance

Cites Work

• The behaviour of a nonlinear Hamiltonian system with one degree of freedom at the boundary of a parametric resonance domain
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