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Fluctuational escape from chaotic attractors in multistable systems.

Research output: Contribution to journalJournal article

Published

Journal publication date06/2008
JournalInternational Journal of Bifurcation and Chaos
Journal number6
Volume18
Number of pages13
Pages1727-1739
Original languageEnglish

Abstract

Recent progress towards an understanding of fluctuational escape from chaotic attractors (CAs) is reviewed and discussed in the contexts of both continuous systems and maps. It is shown that, like the simpler case of escape from a regular attractor, a unique most probable escape path (MPEP) is followed from a CA to the boundary of its basin of attraction. This remains true even where the boundary structure is fractal. The importance of the boundary conditions on the attractor is emphasized. It seems that a generic feature of the escape path is that it passes via certain unstable periodic orbits. The problems still remaining to be solved are identified and considered.