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Nowhere Dispersing 3D Billiards with Non-vanishing Lyapunov Exponents

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Abstract:

We describe a class of 3-dimensional regions with focusing components that generate a billiard system with non-vanishing Lyapunov exponents. To do this we answer affirmatively the long standing question whether or not the chaotic motion caused by defocusing can be produced in more than two dimensions.

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Authors and Affiliations

  1. School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, USA, , , , , , US

    Leonid A. Bunimovich & Jan Rehacek

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  1. Leonid A. Bunimovich
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  2. Jan Rehacek
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Received: 14 February 1996 / Accepted: 21 March 1997

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Bunimovich, L., Rehacek, J. Nowhere Dispersing 3D Billiards with Non-vanishing Lyapunov Exponents . Comm Math Phys 189, 729–757 (1997). https://doi.org/10.1007/s002200050227

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  • DOI: https://doi.org/10.1007/s002200050227

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