How sticky is the chaos/order boundary?

DOI10.1090/conm/698/13982zbMath1398.37029arXiv1603.00667OpenAlexW4214510683MaRDI QIDQ4686897

Carl P. Dettmann

Publication date: 10 October 2018

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.00667

zbMATH Keywords

billiardsarea-preserving mapregular/chaotic region

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (1)

The Iris billiard: Critical geometries for global chaos

Cites Work

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• Fine structure of sticky sets in mushroom billiards
• Many faces of stickiness in Hamiltonian systems
• Open mushrooms: stickiness revisited
• Stickiness in mushroom billiards
• Quantum mushroom billiards
• ON BILLIARDS CLOSE TO DISPERSING
• Percival’s conjecture for the Bunimovich mushroom billiard
• Open circle maps: small hole asymptotics
• Mushrooms and other billiards with divided phase space

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