Regular and Chaotic Behaviors of Modified Rayleigh Duffing oscillator

Autor:	Miwadinou, C. H., Monwanou, A. V., Ainamon, C., Orou, J. B. Chabi
Rok vydání:	2014
Předmět:	Nonlinear Sciences - Chaotic Dynamics
Druh dokumentu:	Working Paper
Popis:	The regular and chaotic behavior of modified Rayleigh-Duffing oscillator is studied. We consider in this paper the dynamics of Modified Rayleigh Duffing oscillator. The harmonic balance method are used to find the amplitudes of the oscillatory states, and analyze. The influence of system parameters are clearly found on the bifurcations in the response of this system is investigated. It is found also hysteresis and jump phenomenon are appered or desappered when certain parameters incrases or descrases. Various bifurcation structures, the variation of the Lyapunov exponent are obtained, using numerical simulations of the equations of motion. Various basin attraction are used to confirm the predictions of bifurcation structures and its corresponds Lyapunov exponent. Comment: 21 pages, 15 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1403.6843 Zobrazit plný text záznamu View this record from Arxiv