Phys. Rev. Lett. 76, 4348–4351 (1996)Strange Nonattracting Chaotic Sets, Crises, and Fluctuating Lyapunov ExponentsReceived 26 April 1995; revised 1 November 1995; published in the issue dated 3 June 1996 Chaotic attractors containing periodic orbits with different numbers of unstable directions display fluctuating Lyapunov exponents. We show that the existence of certain nonattracting chaotic sets inside the attractor guarantees the occurrence of this behavior in a persistent manner. These nonattracting sets can be brought inside the attractor via a new type of crisis and may be created, as a parameter is varied, via a sequence of bifurcations out of unstable periodic orbits. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.76.4348
DOI:
10.1103/PhysRevLett.76.4348
PACS:
05.45.+b, 02.60.Cb, 05.40.+j
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