Noise-induced chaos

J. B. Gao, G. C. Chen, S. K. Hwang, J. M. Liu

Research output: Contribution to journalArticlepeer-review

41 Citations (Scopus)

Abstract

Noise-induced chaos is an interesting phenomenon. However, it is a subtle issue because of the difficulty in distinguishing between true low-dimensional chaos and noise. In this review article, we consider how to define noise-induced chaos and what constitutes a test for noise-induced chaos. The mechanism for noise-induced chaos is studied by considering the long-term growth rate of the logarithmic displacement curves. In particular, we have identified three types of diffusional processes, with the third type, the anomalous diffusion, being the precursor of noise-induced chaos. A number of dynamical systems showing different types of diffusional processes are discussed. We have also pointed out when and how a nonlinear noisy system may be mistaken as a chaotic system in general and noise-induced chaos in particular.

Original languageEnglish
Pages (from-to)3283-3305
Number of pages23
JournalInternational Journal of Modern Physics B
Volume13
Issue number28
DOIs
Publication statusPublished - 1999

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

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