Effect of noise on the neutral direction of chaotic attractor

Ying-Cheng Lai, Zonghua Liu

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

A chaotic attractor from a deterministic flow must necessarily possess a neutral direction, as characterized by a null Lyapunov exponent. We show that for a wide class of chaotic attractors, particularly those having multiple scrolls in the phase space, the existence of the neutral direction can be extremely fragile in the sense that it is typically destroyed by noise of arbitrarily small amplitude. A universal scaling law quantifying the increase of the Lyapunov exponent with noise is obtained. A way to observe the scaling law in experiments is suggested.

Original languageEnglish (US)
Pages (from-to)189-192
Number of pages4
JournalChaos
Volume14
Issue number1
DOIs
StatePublished - Mar 2004

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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