Detection of homoclinic bifurcations in resonance zones of forced oscillators

DOI10.1023/A:1015617128078zbMath1015.70018OpenAlexW86563466MaRDI QIDQ1851036

Kazuyuki Yagasaki

Publication date: 15 December 2002

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

Full work available at URL: https://doi.org/10.1023/a:1015617128078

zbMATH Keywords

averaginghomoclinic bifurcationsMelnikov methodseparatrix splittingsubharmonic resonanceperiodic perturbationsDuffing oscillatorsnonconservative forced oscillatorsplane Hamiltonian systems

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Dynamical systems in classical and celestial mechanics (37N05) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44)

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