Suppressing chaos through optimum correction of the control parameters in a Duffing-van der Pol oscillator

摘要

The problem of the parametric suppression of chaos in a dynamical system is solved by methods of the optimum control theory. Based on the proposed method, optimum correcting perturbations are determined for a Duffing-van der Pol oscillator. The results of a numerical experiment are presented, which show that this correction provides stabilization of the optimum limit cycle.