Escaping orbits are rare in the quasi-periodic Fermi–Ulam ping-pong

DOI10.1017/etds.2018.77zbMath1437.37028OpenAlexW2891377368MaRDI QIDQ5220082

Rafael Ortega, Markus Kunze

Publication date: 10 March 2020

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2018.77

zbMATH Keywords

quasi-periodic forcingDiophantine conditionFermi acceleration

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Forced motions for nonlinear problems in mechanics (70K40) Orbit growth in dynamical systems (37C35) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11) Dynamical aspects of twist maps (37E40)

Related Items (9)

Almost surely recurrent motions in the Euclidean space ⋮ Rareness of escaping orbits of the quasi-periodic Duffing equations with polynomial potentials ⋮ Dynamics of the Fermi–Ulam model in an external gravitational field ⋮ Recurrent motions in a piecewise linear oscillator ⋮ Exponential Fermi acceleration in a switching billiard ⋮ A rectangular billiard with moving slits ⋮ Escaping orbits are also rare in the almost periodic Fermi-Ulam ping-pong ⋮ Escaping orbits are rare in the quasi-periodic Littlewood boundedness problem ⋮ Growth rates of orbits in non-periodic twist maps and a theorem by Neishtadt

Cites Work

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