Diffusion and chaos in a bouncing ball model

DOI10.1007/s00033-020-01300-0zbMath1473.37076arXiv2004.09921OpenAlexW3016620504MaRDI QIDQ2175348

Stefano Marò

Publication date: 29 April 2020

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.09921

zbMATH Keywords

entropybouncing ballbreaking of invariant curvesconverse KAM theoremFermi-Ulam ping-pong

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) Dynamical aspects of twist maps (37E40) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

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Vector bright soliton interactions of the two-component AB system in a baroclinic fluid ⋮ On unbounded motions in a real analytic bouncing ball problem ⋮ Some remarks on the periodic motions of a bouncing ball ⋮ Dynamics of the Fermi–Ulam model in an external gravitational field ⋮ Existence of periodic solutions in the systems of the billiard type ⋮ Chaotic motion in the breathing circle billiard

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