Basin bifurcation in quasiperiodically forced systems

U Feudel, A Witt, Y C Lai, C Grebogi, Ying-Cheng Lai

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25 Citations (Scopus)

Abstract

In this paper we study quasiperiodically forced systems exhibiting fractal and Wada basin boundaries. Specifically, by utilizing a class of representative systems, we analyze the dynamical origin of such basin boundaries and we characterize them. Furthermore, we find that basin boundaries in a quasiperiodically driven system can undergo a unique type of bifurcation in which isolated "islands" of basins of attraction are created as a system parameter changes. The mechanism for this type of basin boundary bifurcation is elucidate.

Original languageEnglish
Pages (from-to)3060-3066
Number of pages7
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume58
Issue number3
Publication statusPublished - Sep 1998

Keywords

  • STRANGE NONCHAOTIC ATTRACTOR
  • DYNAMICAL-SYSTEMS
  • CHAOTIC ATTRACTORS
  • BOUNDARIES
  • WADA
  • CRISIS
  • MAP

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