Dynamics and active control of chemical oscillations modeled as a forced generalized Rayleigh oscillator with asymmetric potential

Abstract

This paper focuses on the dynamics and active control of chemical oscillations governed by a forced generalized Rayleigh oscillator. The Melnikov method is used to analytically determine the critical parameters for the onset of chaotic motions. The analytical results are confirmed by numerical simulations. The bifurcation structures obtained show that the model displays a rich variety of dynamical behaviors and remarkable routes to chaos. The effects of the control gain parameters on the behavior of the system are analyzed and the results obtained have shown the control efficiency.