Basin bifurcation in quasiperiodically forced systems

Ulrike Feudel, Annette Witt, Ying-Cheng Lai, Celso Grebogi

Research output: Contribution to journalArticle

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 elucidated.

Original languageEnglish (US)
Pages (from-to)3060-3066
Number of pages7
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume58
Issue number3 SUPPL. A
StatePublished - 1998
Externally publishedYes

Fingerprint

Bifurcation
Basin of Attraction
Fractal
attraction
fractals

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Basin bifurcation in quasiperiodically forced systems. / Feudel, Ulrike; Witt, Annette; Lai, Ying-Cheng; Grebogi, Celso.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 58, No. 3 SUPPL. A, 1998, p. 3060-3066.

Research output: Contribution to journalArticle

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