Effect of nonlinear dissipation on the basin boundaries of a driven two-well or catastrophic single-well Modified Rayleigh-Duffing Oscillator

作者: C. H. Miwadinou , A. V. Monwanou , J. B. Chabi Orou

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摘要: This paper considers effect of nonlinear dissipation on the basin boundaries a diven two-well Modified Rayleigh-Duffing Oscillator where pure and unpure quadratic cubic nonlinearities are considered. By analyzing potential an analytic expression is found for homoclinic orbit. The Melnikov criterion used to examine global bifurcation transition chaos in case our oscillator. It parameter amplitude parametric excitation critical cr. Finally, we carefully phase space initial conditions order analyze damping, particular how become fractalized.

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