Abstract

Recently [1], in the context of nonfedback control of chaos in a CO₂ laser by periodic perturbations it has been theoretically shown that small deviations of the perturbation frequency from a subharmonic resonance result in a regular alternation between periodic and chaotic behaviors. In Ref.² such a type of temporal behavior has been theoretically analyzed in detail for the Duffing equation and identified as a new type of intermittency, called the breathing effect in dynamical sistems. This effect is caused by the quasistatic periodical drift in the phase coming from the small detuning of the perturbation frequency with respect to parametric resonance in the system.

© 1996 IEEE