Noise-induced chaos: A consequence of long deterministic transients

T. Tél, Ying Cheng Lai, Márton Gruiz

Research output: Contribution to journalArticle

23 Citations (Scopus)

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
Pages (from-to)509-520
Number of pages12
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume18
Issue number2
DOIs
Publication statusPublished - Feb 2008

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Chaos theory
Chaos
Dynamical Model
Invariant Set
Population Model
Fractals
Fractal
Dynamical systems
Dynamical system
Line

Keywords

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

ASJC Scopus subject areas

  • General
  • Applied Mathematics

Cite this

Noise-induced chaos : A consequence of long deterministic transients. / Tél, T.; Lai, Ying Cheng; Gruiz, Márton.

In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 18, No. 2, 02.2008, p. 509-520.

Research output: Contribution to journalArticle

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