Experimental characterization of transition to chaos in the presence of noise

B Xu, Y C Lai, L Q Zhu, Y H Do, Ying-Cheng Lai

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Transition to chaos in the presence of noise is an important problem in nonlinear and statistical physics. Recently, a scaling law has been theoretically predicted which relates the Lyapunov exponent to the noise variation near the transition. Here we present experimental observation of noise-induced chaos in an electronic circuit and obtain the fundamental scaling law characterizing the transition. The experimentally obtained scaling exponent agrees very well with that predicted by theory.

Original languageEnglish
Article number164101
Number of pages4
JournalPhysical Review Letters
Volume90
Issue number16
DOIs
Publication statusPublished - 23 Apr 2003

Keywords

  • random dynamical-systems
  • induce chaos
  • fluctuations
  • dimensions
  • saddles
  • orbits
  • laser
  • onset
  • model
  • zero

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