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Ergodic properties of plane billiards with symmetric potentials

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Abstract

We study chaotic behaviour of the motion of a particle moving like in a billiard table outside some disks where a symmetric potential acts. Quadratic forms introduced in (Markarian, 1988) to study non-vanishing Lyapunov exponents are used.

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Communicated by Ya. G. Sinai

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Markarian, R. Ergodic properties of plane billiards with symmetric potentials. Commun.Math. Phys. 145, 435–446 (1992). https://doi.org/10.1007/BF02099392

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  • DOI: https://doi.org/10.1007/BF02099392

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