Scaling behavior of chaotic systems with riddled basins

Journal Article · Sun Dec 19 23:00:00 EST 1993 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.71.4134· OSTI ID:5323840

Ott, E; Sommerer, J C; Alexander, J C; Kan, I; Yorke, J A ^[1]

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1. University of Maryland, College Park, Maryland 20742 (United States) M. S. Eisenhower Research Center, Johns Hopkins University Applied Physics Laboratory, Laurel, Maryland 20723 (United States) Department of Mathematics, George Mason University, Fairfax, Virginia 22030 (United States)

Recently it has been shown that there are chaotic attractors whose basins are such that every point in the attractor's basin has pieces of another attractor's basin arbitrarily nearby (the basin is riddled'' with holes). Here we report quantitative theoretical results for such basins and compare with numerical experiments on a simple physical model.

• OSTI ID: 5323840
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 71:25; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ATTRACTORS
CALCULATION METHODS
COMPARATIVE EVALUATIONS
EVALUATION
LYAPUNOV METHOD
MECHANICS
RANDOMNESS
SCALING LAWS
STOCHASTIC PROCESSES