Fractal Basin Boundaries, Long-Lived Chaotic Transients, and Unstable-Unstable Pair Bifurcation

Celso Grebogi, Edward Ott, James A. Yorke

Research output: Contribution to journalArticle

242 Citations (Scopus)

Abstract

A new type of bifurcation to chaos is pointed out and discussed. In this bifurcation two unstable fixed points or periodic orbits are created simultaneously with a strange attractor which has a fractal basin boundary. Chaotic transients associated with the coalescence of the unstable-unstable pair are shown to be extraordinarily long-lived.
Original languageEnglish
Pages (from-to)935-938
Number of pages4
JournalPhysical Review Letters
Volume50
Issue number13
DOIs
Publication statusPublished - 28 Mar 1983

Cite this

Fractal Basin Boundaries, Long-Lived Chaotic Transients, and Unstable-Unstable Pair Bifurcation. / Grebogi, Celso ; Ott, Edward; Yorke, James A.

In: Physical Review Letters, Vol. 50, No. 13, 28.03.1983, p. 935-938.

Research output: Contribution to journalArticle

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