Application of the subharmonic Melnikov method to piecewise-smooth systems

DOI10.3934/dcds.2013.33.2189zbMath1279.37038OpenAlexW2321959382MaRDI QIDQ1948796

Kazuyuki Yagasaki

Publication date: 24 April 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.2189

zbMATH Keywords

stabilitybifurcationMelnikov methodsubharmonic orbitpiecewise-smooth systembi- and trilinear oscillators

Mathematics Subject Classification ID

Discontinuous ordinary differential equations (34A36) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

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Subharmonic Melnikov method of four-dimensional non-autonomous systems and application to a rectangular thin plate ⋮ Impulsive perturbations to differential equations: stable/unstable pseudo-manifolds, heteroclinic connections, and flux ⋮ Subharmonic Melnikov theory for degenerate resonance systems and its application

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