Blowout bifurcation route to strange nonchaotic attractors

Tolga Yalcinkaya, Ying-Cheng Lai

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103 Citations (Scopus)

Abstract

Strange nonchaotic attractors are attractors that are geometrically strange, but have nonpositive Lyapunov exponents. We show that for dynamical systems with an invariant subspace in which there is a quasiperiodic torus, the loss of the transverse stability of the torus can lead to the birth of a strange nonchaotic attractor. A physical phenomenon accompanying this route to strange nonchaotic attractors is an extreme type of intermittency.

Original languageEnglish
Pages (from-to)5039-5042
Number of pages4
JournalPhysical Review Letters
Volume77
Issue number25
DOIs
Publication statusPublished - 16 Dec 1996

Keywords

  • on-off intermittency
  • structure intermediate
  • chaotic attractors
  • riddled basins
  • systems
  • oscillators
  • birth
  • map

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