Some dynamical properties of the stadium billiard

DOI10.1016/J.PHYSD.2003.09.034zbMath1051.37016OpenAlexW2100479122MaRDI QIDQ1885845

Jinzhi Lei, Xiong Li

Publication date: 12 November 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2003.09.034

zbMATH Keywords

Periodic orbitRotation numberHorseshoe mapStadium billiard

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Low-dimensional dynamical systems (37E99) Morse-Smale systems (37D15)

Related Items (1)

Rigorous bounds on Lyapunov exponents of linked twist maps

Cites Work

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• Subluminal and superluminal propagation in a three-level atom in the radiative limit based on coherent population oscillations
• On the ergodic properties of nowhere dispersing billiards
• On ergodic properties of certain billiards
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• On the Detection and Dynamical Consequences of Orbits Homoclinic to Hyperbolic Periodic Orbits and Normally Hyperbolic Invariant Tori in a Class of Ordinary Differential Equations
• Chaotic Motion of a Pendulum with Oscillatory Forcing
• Cantori for the stadium billiard

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