Wada basin boundaries in chaotic scattering

Leon Poon, Jose Campos, Edward Ott, Celso Grebogi

Research output: Contribution to journalArticle

73 Citations (Scopus)

Abstract

Chaotic scattering systems with multiple exit modes typically have fractal phase space boundaries separating the sets of initial conditions (basins) going to the various exits. If the exits number more than two, we show that the system may possess the stronger property that any initial condition which is on the boundary of one exit basin is also simultaneously on the boundary of all the other exit basins. This interesting property is known as the Wada property and basin boundaries having this property are called Wada basin boundaries.

Original languageEnglish
Pages (from-to)251-265
Number of pages15
JournalInternational Journal of Bifurcation and Chaos
Volume6
Issue number2
DOIs
Publication statusPublished - Feb 1996

Keywords

  • irregular scattering
  • fractal boundaries
  • dynamics
  • repellor
  • metamorphoses
  • quantization
  • bifurcation
  • magnetotail
  • transients
  • orbits

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