Surface billiards and nonvanishing Lyapunov exponents |
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Authors: | Cheng Jian |
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Institution: | (1) Department of Mathematics, Nanjing University, 210008 Nanjing, China |
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Abstract: | We study in this paper the billiards on surfaces with mix-valued Gaussian curvature and the condition which gives nonvanishing
Lyapunov exponents of the system. We introduce a criterion upon which a small perturbation of the surface will also produce
a system with positive Lyapunov exponents. Some examples of such surfaces are given in this article. |
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Keywords: | Billards Lyapunov exponents Curvature |
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