Polygonal Billiards with Strongly Contractive Reflection Laws: A Review of Some Hyperbolic Properties
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- Type
- review
- Published
- 2012-07-22
- Cited by
- 1
- References
- 24
- OpenAlex
- https://openalex.org/W2536195193
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:126112899
Keywords
Reflection (computer programming), Pure mathematics, Mathematics, Mathematical analysis, Computer science
References
- Hard Ball Systems and the Lorentz Gas
- Invariant Manifolds, Entropy and Billiards: Smooth Maps With Singularities
- Closed trajectories for quadratic differentials with an application to billiards
- Geometry and billiards
- Periodic billiard orbits are dense in rational polygons
- SRB measures for hyperbolic polygonal billiards
- Principles for the design of billiards with nonvanishing Lyapunov exponents
- Using integrability to produce chaos: Billiards with positive entropy
- Topological transitivity of billiards in polygons
- Structure and evolution of strange attractors in non-elastic triangular billiards.
- Ergodicity of billiard flows and quadratic differentials
- Billiards in polygons
- Pinball billiards with dominated splitting
- Local instability of orbits in polygonal and polyhedral billiards
- Invariant measures for hyperbolic maps with singularities
- Chaos in the square billiard with a modified reflection law.
- Billiard dynamics: an updated survey with the emphasis on open problems.
- On ergodic properties of certain billiards
- Billiards in polygons: Survey of recent results
- Periodic billiard trajectories in polygons: generating mechanisms
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