HOMOCLINIC BIFURCATION AND CHAOS IN Φ6-RAYLEIGH OSCILLATOR WITH THREE WELLS DRIVEN BY AN AMPLITUDE MODULATED FORCE

DOI10.1142/S0218127411029288zbMath1248.34044MaRDI QIDQ3165785

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Publication date: 19 October 2012

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

chaosMelnikov methodhomoclinic and heteroclinic bifurcations\(\Phi ^{6}\)-Rayleigh oscillatoramplitude modulated force

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Nonautonomous smooth dynamical systems (37C60)

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