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Sensitive response to time dependent perturbations and spectral properties of deterministic chaos

Authors
Journal
Chaos Solitons & Fractals
0960-0779
Publisher
Elsevier
Publication Date
Volume
4
Issue
1
Identifiers
DOI: 10.1016/0960-0779(94)90017-5
Disciplines
  • Mathematics

Abstract

Abstract 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.

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