Noise-induced chaos: A consequence of long deterministic transients

Tamás Tél, Ying-Cheng Lai, Márton Gruiz

Research output: Contribution to journalArticle

24 Scopus citations

Abstract

We argue that transient chaos in deterministic dynamical systems is a major source of noise-induced chaos. The line of arguments is based on the fractal properties of the dynamical invariant sets responsible for transient chaos, which were not taken into account in previous works. We point out that noise-induced chaos is a weak noise phenomenon since intermediate noise strengths destroy fractality. The existence of a deterministic nonattracting chaotic set, and of chaotic transients, underlying noise-induced chaos is illustrated by examples, among others by a population dynamical model.

Original languageEnglish (US)
Pages (from-to)509-520
Number of pages12
JournalInternational Journal of Bifurcation and Chaos
Volume18
Issue number2
DOIs
StatePublished - Feb 2008

Keywords

  • Fractal dimension
  • Noise-induced chaos
  • Nonattracting chaotic sets
  • Population dynamics
  • Transient chaos

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

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