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Strange nonchaotic repellers | | Alessandro P S de Moura
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31 Aug 2007 | | Journal: | Phys Rev E, 76 (3 Pt 2), 036218 | | Abstract: | We show the existence of strange nonchaotic repellers--that is, systems with transient dynamics whose nonattracting invariant set is fractal, but whose maximum Lyapunov coefficient is zero. We introduce the concept using a simple one-dimensional map and argue that strange nonchaotic repellers are a general phenomenon, occurring in bifurcation points of transient chaotic systems. All strange nonchaotic systems studied to date have been attractors; here, it is revealed that strange nonchaotic sets are also present in transient systems. | | Source: | PubMed, pmid17930334 | | Services: | Forum | Review | Favorites | |
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