Scaling behavior of transition to chaos in quasiperiodically driven dynamical systems

Ying-Cheng Lai, Ulrike Feudel, Celso Grebogi

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

A route to chaos in quasiperiodically driven dynamical systems is investigated whereby the Lyapunov exponent passes through zero linearly near the transition. A dynamical consequence is that, after the transition, the collective behavior of an ensemble of trajectories on the chaotic attractor exhibits an extreme type of intermittency. The scaling behavior of various measurable quantities near the transition is examined.

Original languageEnglish
Pages (from-to)6070-6073
Number of pages4
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume54
Issue number6
DOIs
Publication statusPublished - 1 Dec 1996

Keywords

  • strange nonchaotic attractors
  • on-off intermittency
  • crisis
  • birth

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