On the homoclinic orbits in a class of two-degree-of-freedom systems under the resonance conditions

DOI10.1023/A:1015518822779zbMath1007.70018OpenAlexW4230196493MaRDI QIDQ5941804

Zhen-Yuan Xu, Maonan Wang

Publication date: 27 March 2003

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015518822779

zbMATH Keywords

existenceperiodic solutionschaosmethod of multiple scalesresonancehomoclinic orbitsexternal parametric excitationtwo-degree-of-freedom systemsWiggins systems

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (5)

Global bifurcations of a simply supported rectangular metallic plate subjected to a transverse harmonic excitation ⋮ Multi-pulse jumping orbits and homoclinic trees in motion of a simply supported rectangular metallic plate ⋮ Global bifurcations and homoclinic trees in motion of a thin rectangular plate on a nonlinear elastic foundation ⋮ Global bifurcations and chaos in externally excited cyclic systems ⋮ Global bifurcations and single‐pulse homoclinic orbits of a plate subjected to the transverse and in‐plane excitations

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