Melnikov Chaos in a Modified Rayleigh–Duffing Oscillator with ϕ6 Potential

DOI10.1142/S0218127416500851zbMath1343.34091arXiv1508.05664OpenAlexW3098522716MaRDI QIDQ3187929

Cyrille Ainamon, A. V. Monwanou, A. A. Koukpemedji, Clement H. Miwadinou, J. B. Chabi Orou, Laurent Amoussou Hinvi

Publication date: 5 September 2016

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

Full work available at URL: https://arxiv.org/abs/1508.05664

zbMATH Keywords

basin of attractionMelnikov criterionship rollingnonlinear damping effectmodified Rayleigh-Duffing oscillator

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) 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)

Related Items (7)

Complex periodic bursting structures in the Rayleigh-van der Pol-Duffing oscillator ⋮ The response analysis of fractional-order stochastic system via generalized cell mapping method ⋮ Chaos of the Rayleigh-Duffing oscillator with a non-smooth periodic perturbation and harmonic excitation ⋮ Modeling nonlinear dissipative chemical dynamics by a forced modified van der Pol-Duffing oscillator with asymmetric potential: chaotic behaviors predictions ⋮ Nonlinear Oscillations of Nonlinear Damping Gyros: Resonances, Hysteresis and Multistability ⋮ Chaotic Motions in Forced Mixed Rayleigh–Liénard Oscillator with External and Parametric Periodic-Excitations ⋮ Effect of amplitude modulated signal on chaotic motions in a mixed Rayleigh-Liénard oscillator

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