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

Celso Grebogi, Edward Ott, James A. Yorke

Research output: Contribution to journalArticlepeer-review

262 Citations (Scopus)


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
Issue number13
Publication statusPublished - 28 Mar 1983

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