Blowout bifurcation of chaotic saddles

Tomasz Kapitaniak, Ying-Cheng Lai, Celso Grebogi

Research output: Contribution to journalArticle

Abstract

Chaotic saddles are nonattracting dynamical invariant sets that can lead to a variety of physical phenomena. We describe the blowout bifurcation of chaotic saddles located in the symmetric invariant manifold of coupled systems and discuss dynamical phenomena associated with this bifurcation.

Original languageEnglish
Pages (from-to)9-13
Number of pages5
JournalDiscrete Dynamics in Nature and Society
Volume3
Issue number1
DOIs
Publication statusPublished - 1999

Keywords

  • nonattracting sets
  • riddled basins
  • blowout bifurcation
  • chaos synchronization
  • globally riddled basins
  • piecewise-linear maps
  • transverse instability
  • synchronization

Cite this

Blowout bifurcation of chaotic saddles. / Kapitaniak, Tomasz; Lai, Ying-Cheng; Grebogi, Celso.

In: Discrete Dynamics in Nature and Society, Vol. 3, No. 1, 1999, p. 9-13.

Research output: Contribution to journalArticle

Kapitaniak, Tomasz ; Lai, Ying-Cheng ; Grebogi, Celso. / Blowout bifurcation of chaotic saddles. In: Discrete Dynamics in Nature and Society. 1999 ; Vol. 3, No. 1. pp. 9-13.
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KW - chaos synchronization

KW - globally riddled basins

KW - piecewise-linear maps

KW - transverse instability

KW - synchronization

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