SENSITIVE RESPONSE TO TIME-DEPENDENT PERTURBATIONS AND SPECTRAL PROPERTIES OF DETERMINISTIC CHAOS

When a probabilistic description of deterministic chaos is feasible, it can describe the dynamical evolution of a given system beyond the Lyapunov horizon where a point-like evolutionary description fails. In the one dimensional examples that we have studied a probabilistic description is very informative about the spectral properties of a given system. One example is an intermittent map whose behaviour is similar to that of a bistable stochastic system. When weakly perturbed by an oscillating kick the system responds sensitively at forcing periods predicted by the system's spectra.