Fractal basin boundaries in higher-dimensional chaotic scattering

DOI10.1016/S0375-9601(99)00900-7zbMath0949.37016OpenAlexW1972693136MaRDI QIDQ1569534

Edward Ott, David Sweet

Publication date: 3 July 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(99)00900-7

zbMATH Keywords

Hamiltonian systemstime-independentbasin boundary structurechaotic scattering systemhard-walled billiard

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (5)

Escapes in Hamiltonian systems with multiple exit channels. II ⋮ Fractal basin boundaries and escape dynamics in a multiwell potential ⋮ Elucidating the escape dynamics of the four Hill potential ⋮ Three-dimensional optical billiard chaotic scattering ⋮ Escape dynamics and fractal basin boundaries in Seyfert galaxies

Cites Work

• Unnamed Item
• Fractal basin boundaries
• Functional differential equations and approximation of fixed points. Proceedings, Bonn, July 1978
• The Lyapunov dimension of a nowhere differentiable attracting torus
• A Dynamical Meaning of Fractal Dimension
• Topology in chaotic scattering

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