Stochastic versus chaotic dynamics in a deterministic system

Citation

Gudowska-Nowak E, Kleczkowski A & Williams GO (1989) Stochastic versus chaotic dynamics in a deterministic system. Journal of Statistical Physics, 54 (1-2), pp. 539-560. https://doi.org/10.1007/BF01023494

Abstract
We analyze a dynamical system whose time evolution depends on an externally controlled model parameter. We observe that the introduction of state-dependent perturbations induces a variety of phenomena which can have either a chaotic or stochastic nature. We analyze the sensitivity of the dynamics and the underlying attractors to the strength, frequency, and time correlations of the external perturbations.

Keywords
Chaos; noise-induced transitions; state-dependent perturbations

Journal
Journal of Statistical Physics: Volume 54, Issue 1-2