Few Islands Approximation of Hamiltonian System with divided Phase Space

DOI10.1080/10586458.2018.1559777OpenAlexW3105747609MaRDI QIDQ3383694

Tomaž Prosen, Gregor Vidmar, Leonid A. Bunimovich, Giulio Casati

Publication date: 16 December 2021

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

Full work available at URL: https://arxiv.org/abs/1802.09764

zbMATH Keywords

KAM theoremHamiltonian chaosmixed phase space

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Cites Work

• Semi-focusing billiards: Hyperbolicity
• Regular and chaotic dynamics.
• Fine structure of sticky sets in mushroom billiards
• Ergodicity of the generalized lemon billiards
• Open mushrooms: stickiness revisited
• Stickiness in mushroom billiards
• Semi-focusing billiards: ergodicity
• Quantum mushroom billiards
• Spectral statistics of a system with sharply divided phase space
• General Poissonian model of diffusion in chaotic components
• Beyond the Berry–Robnik regime: a random matrix study of tunneling effects
• Mushrooms and other billiards with divided phase space

This page was built for publication: Few Islands Approximation of Hamiltonian System with divided Phase Space