Variational approach to homoclinic orbits in twist maps and an application to billiard systems |
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| Authors: | Jian Cheng |
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| Institution: | (1) Department of Mathematics, Nanjing University, 210093 Nanjing, P. R. China |
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| Abstract: | We study in this article the topological entropy of billiard systems on a convex domain
of the Euclidean plane. We restrict our attention to those systems whose boundary curve has
positive curvature and show that for generic billiard ball systems satisfying this condition the
topological entropy is positive. |
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| Keywords: | billiard ball systems topological entropy Jacobi fields |
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