Fermi acceleration in time-dependent rectangular billiards due to multiple passages through resonances

DOI10.1063/1.4705101zbMath1331.37054arXiv1112.3472OpenAlexW3102237670WikidataQ84513316 ScholiaQ84513316MaRDI QIDQ2787817

A. P. Itin, Anatoly I. Neishtadt

Publication date: 4 March 2016

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.3472

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Simulation of dynamical systems (37M05) Parametric resonances for nonlinear problems in mechanics (70K28)

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Cites Work

• Unnamed Item
• Resonant phenomena in slowly irregular rectangular waveguides
• Resonant phenomena in slowly perturbed elliptic billiards
• Captures into resonance and scattering on resonance in dynamics of a charged relativistic particle in magnetic field and electrostatic wave
• Geometric and Probabilistic Structures in Dynamics
• Time-dependent billiards
• On the Origin of the Cosmic Radiation
• Resonant phenomena in slowly perturbed rectangular billiards

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