On the structure of Hamiltonian impact systems

DOI10.1088/1361-6544/abb450zbMath1470.37082arXiv1903.08851OpenAlexW3183604625MaRDI QIDQ4986226

Michal Pnueli, Vered Rom-Kedar

Publication date: 27 April 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.08851

zbMATH Keywords

billiardsHamiltonian chaosHill regionsmooth systems with impacts

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items

Billiard ordered games and books, Near Tangent Dynamics in a Class of Hamiltonian Impact Systems, Non-uniform ergodic properties of Hamiltonian flows with impacts, Topology of Liouville foliations of integrable billiards on table-complexes

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