Global bifurcations in parametrically excited systems with zero-to-one internal resonance

DOI10.1023/A:1008364914446zbMath0968.70018OpenAlexW10426235MaRDI QIDQ1573321

Publication date: 16 September 2001

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008364914446

zbMATH Keywords

integrable Hamiltonian system averaged equations periodic forcing stable manifolds unstable manifolds slow mode existence of Silnikov homoclinic orbits fast mode generalized Melnikov function zero-to-one internal resonance

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Nonlinear resonances for nonlinear problems in mechanics (70K30) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)

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