Global bifurcations and multi-pulse orbits of a parametric excited system with autoparametric resonance

DOI10.1007/s11071-010-9883-3zbMath1260.34083OpenAlexW2099157285MaRDI QIDQ763612

Qingyu Xu, Hongkui Chen

Publication date: 29 March 2012

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

Full work available at URL: https://doi.org/10.1007/s11071-010-9883-3

zbMATH Keywords

heteroclinic orbithomoclinic orbitglobal bifurcationchaotic attractorSmale horseshoeAutoparametric systemmulti-pulse Shilnikov-type orbit

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

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Shil'nikov chaos in the 4D Lorenz-Stenflo system modeling the time evolution of nonlinear acoustic-gravity waves in a rotating atmosphere

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