Chaotic Motions in Forced Mixed Rayleigh-Lienard Oscillator with External and Parametric Periodic-Excitations

摘要

This paper addresses the issue of a mixed Rayleigh-Lienard oscillator with external and parametric periodic-excitations. The Melnikov method is utilized to analytically determine the domain boundaries where horseshoe chaos appears. Routes to chaos are investigated through bifurcation structures, Lyapunov exponents, phase portraits and Poincare sections. The effects of Rayleigh and Lienard parameters are analyzed. Results of analytical investigations are validated and complemented by numerical simulations.