RESHAPING-INDUCED CHAOS SUPPRESSION

We discuss the route for eliminating chaos in nonlinear oscillations by changing only the shape of a periodic force. We consider the Duffing oscillator forced with the Jacobi elliptic function sn and, applying a simple averaging technique, show that the phenomenon of chaos suppression due to reshaping of the driving force may be easily explained as an effect solely arising from the change of the effective amplitude of the first harmonic in the Fourier series expansion of the elliptic function. This conclusion is clearly confirmed by direct numerical simulations. © 1995 The American Physical Society.