Comparison between parametric excitation and additional forcing terms as chaos-suppressing perturbations

The inhibition of chaos in the damped, driven one-well Duffing oscillator b y application of weak parametric excitations or small additional forcings i s studied theoretically by means of Melnikov's analysis. It is demonstrated that the "maximum survival" of the symmetries, under chaos-suppressing exc itations, leads to the optimal values of the initial phase differences betw een the primary chaos-inducing and chaos-suppressing excitations. (C) 1998 Published by Elsevier Science B.V.