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2001 Off-Center Reflections: Caustics and Chaos
Thomas Kwok-keung Au, Xiao-Song Lin
Experiment. Math. 10(2): 287-302 (2001).

Abstract

We study the possible link between the dynamics of a certain family of circle maps and the caustics of their iterates. The maps are defined by off-center reflections in a mirrored circle; they can calso be regarded as perturbed rotations. Some of our experimental observations can be justified rigorously; for example, a lower bound is given for the number of cusps and the mode-locking behavior are studied. Symplectic topology is a particularly useful tool in this study.

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Thomas Kwok-keung Au. Xiao-Song Lin. "Off-Center Reflections: Caustics and Chaos." Experiment. Math. 10 (2) 287 - 302, 2001.

Information

Published: 2001
First available in Project Euclid: 30 August 2001

zbMATH: 1041.37018
MathSciNet: MR1837677

Rights: Copyright © 2001 A K Peters, Ltd.

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Vol.10 • No. 2 • 2001
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