Effect of Nonlinear Dissipation on the Basin Boundaries of a Driven Two-Well Modified Rayleigh–Duffing Oscillator

DOI10.1142/S0218127415500248zbMath1309.34057arXiv1310.0958OpenAlexW3100555092MaRDI QIDQ5246693

J. B. Chabi Orou, A. V. Monwanou, Clement H. Miwadinou

Publication date: 22 April 2015

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

Full work available at URL: https://arxiv.org/abs/1310.0958

zbMATH Keywords

bifurcationchaotic behaviorbasin boundariesMelnikov criterionmodified Rayleigh-Duffing oscillator

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) Attractors of solutions to ordinary differential equations (34D45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (8)

Melnikov Chaos in a Modified Rayleigh–Duffing Oscillator with ϕ6 Potential ⋮ 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 ⋮ 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 ⋮ Birth of oscillation in coupled non-oscillatory Rayleigh-Duffing oscillators ⋮ Forecasting models for chaotic fractional-order oscillators using neural networks ⋮ Complex mixed-mode oscillations based on a modified Rayleigh-Duffing oscillator driven by low-frequency excitations

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