Stickiness in mushroom billiards
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Publication:3529530
DOI10.1063/1.1979211zbMath1144.37310arXivnlin/0502058OpenAlexW2084276104WikidataQ51961141 ScholiaQ51961141MaRDI QIDQ3529530
Holger Kantz, Eduardo G. Altmann, Adilson E. Motter
Publication date: 14 October 2008
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0502058
Related Items (17)
Weak dissipative effects on trajectories from the edge of basins of attraction ⋮ One-particle and few-particle billiards ⋮ Tilted-hat mushroom billiards: web-like hierarchical mixed phase space ⋮ Fine structure of sticky sets in mushroom billiards ⋮ Chaotic dynamics of the elliptical stadium billiard in the full parameter space ⋮ Chaotic properties of the truncated elliptical billiards ⋮ Many faces of stickiness in Hamiltonian systems ⋮ Chaotic and Arnold stripes in weakly chaotic Hamiltonian systems ⋮ Quantifying intermittency in the open drivebelt billiard ⋮ How sticky is the chaos/order boundary? ⋮ Few Islands Approximation of Hamiltonian System with divided Phase Space ⋮ The Iris billiard: Critical geometries for global chaos ⋮ Quantum mushroom billiards ⋮ Global structure of regular tori in a generic 4D symplectic map ⋮ Estimating Lyapunov exponents in billiards ⋮ Unpredictability in Hamiltonian systems with a hierarchical phase space ⋮ Characteristic Times for the Fermi–Ulam Model
Cites Work
- Statistical properties of Lorentz gas with periodic configuration of scatterers
- Dynamical traps
- Chaos, fractional kinetics, and anomalous transport
- Power-law decay and self-similar distributions in stadium-type billiards
- Recurrence time statistics for finite size intervals
- Mushrooms and other billiards with divided phase space
- Kinematics, equilibrium, and shape in Hamiltonian systems: The “LAB” effect
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