Bubbling and Riddling of Higher-dimensional Attractors

Celso Grebogi, T. Kapitaniak, Y. Maistrenko

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We analyze the bifurcation in which one of the unstable periodic orbits embedded in a higher-dimensional chaotic attractor becomes unstable transversely to the attractor. The existence of such local transversal instability may cause the bubbling of the attractor in the invariant manifold or it may cause the riddling of the basin of attraction. (C) 2002 Elsevier Science Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)61-66
Number of pages5
JournalChaos, Solitons & Fractals
Volume17
Publication statusPublished - 2003

Keywords

  • UNSTABLE PERIODIC-ORBITS
  • COUPLED CHUA CIRCUITS
  • CHAOTIC SYSTEMS
  • BLOWOUT BIFURCATION
  • SYNCHRONIZATION
  • HYPERCHAOS
  • VARIABILITY
  • TRANSITION
  • OSCILLATORS
  • SYMMETRY

Cite this

Bubbling and Riddling of Higher-dimensional Attractors. / Grebogi, Celso; Kapitaniak, T.; Maistrenko, Y.

In: Chaos, Solitons & Fractals, Vol. 17, 2003, p. 61-66.

Research output: Contribution to journalArticle

Grebogi, C, Kapitaniak, T & Maistrenko, Y 2003, 'Bubbling and Riddling of Higher-dimensional Attractors' Chaos, Solitons & Fractals, vol. 17, pp. 61-66.
Grebogi, Celso ; Kapitaniak, T. ; Maistrenko, Y. / Bubbling and Riddling of Higher-dimensional Attractors. In: Chaos, Solitons & Fractals. 2003 ; Vol. 17. pp. 61-66.
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AU - Maistrenko, Y.

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N2 - We analyze the bifurcation in which one of the unstable periodic orbits embedded in a higher-dimensional chaotic attractor becomes unstable transversely to the attractor. The existence of such local transversal instability may cause the bubbling of the attractor in the invariant manifold or it may cause the riddling of the basin of attraction. (C) 2002 Elsevier Science Ltd. All rights reserved.

AB - We analyze the bifurcation in which one of the unstable periodic orbits embedded in a higher-dimensional chaotic attractor becomes unstable transversely to the attractor. The existence of such local transversal instability may cause the bubbling of the attractor in the invariant manifold or it may cause the riddling of the basin of attraction. (C) 2002 Elsevier Science Ltd. All rights reserved.

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KW - CHAOTIC SYSTEMS

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KW - SYNCHRONIZATION

KW - HYPERCHAOS

KW - VARIABILITY

KW - TRANSITION

KW - OSCILLATORS

KW - SYMMETRY

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JO - Chaos, Solitons & Fractals

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