Author： Bunimovich L.A.
Publisher： Springer Publishing Company
ISSN： 0022-4715
Source： Journal of Statistical Physics, Vol.101, Iss.1-2, 2000-10, pp. : 373-384
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Abstract
We study the mechanism of hyperbolicity in high-dimensional Hamiltonian systems. Especially we consider ergodic billiards with focusing components in dimensions d3. In this case astigmatism serves as an obstacle to hyperbolicity in billiards with large focusing components. The notion of absolutely focusing mirrors is extended to the dimensions d3 and the first classes of ergodic billiards with both focusing and dispersing components are constructed in d3.
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