Control of chaos in nonlinear systems subjected to parametric and stochastic excitations

The nonfeedback methods of chaos control are well suited for practical applications. This paper discusses the derivation of an analytical method using the generalized Melnikov criterion for determining the control parameters to convert the chaotic motion to a periodic motion for the case of nonfeedback method of chaos control using the addition of a weak periodic force. This is discussed for a nonlinear system subjected to parametric and stochastic excitations.