The interaction of resonances of the third and fourth orders in a Hamiltonian two-degree-of-freedom system

DOI10.20537/nd1504004zbMath1369.70031OpenAlexW2331094164MaRDI QIDQ2812575

Olga V. Kholostova

Publication date: 17 June 2016

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

Full work available at URL: http://mathnet.ru/eng/nd501

zbMATH Keywords

stabilitycanonical transformationHamiltonian systemdouble resonancemethod of normal forms

Mathematics Subject Classification ID

Hamilton's equations (70H05) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Normal forms for nonlinear problems in mechanics (70K45) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (4)

On multiple fourth-order resonances in a nonautonomous two-degree-of-freedom Hamiltonian system ⋮ 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 and Stability of Coupled Pendulums in the Case of a Multiple Resonance

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