Escaping orbits are also rare in the almost periodic Fermi-Ulam ping-pong

DOI10.1007/s12346-021-00545-yzbMath1489.37002arXiv1908.02529OpenAlexW2966348928MaRDI QIDQ2064115

Henrik Schließauf

Publication date: 4 January 2022

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.02529

zbMATH Keywords

escaping setFermi accelerationalmost periodic forcing

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Forced motions for nonlinear problems in mechanics (70K40) Classical almost periodic functions, mean periodic functions (42A75) Orbit growth in dynamical systems (37C35) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) Relations between ergodic theory and harmonic analysis (37A46)

Related Items (1)

Dynamics of the Fermi–Ulam model in an external gravitational field

Cites Work

• Fermi acceleration in anti-integrable limits of the standard map
• Complete orbits for twist maps on the plane: extensions and applications
• Nonmonotone equations with large almost periodic forcing terms
• Bouncing balls in nonlinear potentials
• The implicit function theorem for continuous functions
• Limit periodic functions, adding machines, and solenoids
• Escaping orbits are rare in the quasi-periodic Littlewood boundedness problem
• Almost periodic linear differential equations with non-separated solutions
• Dynamics of some piecewise smooth Fermi-Ulam models
• Melnikov Transforms, Bernoulli Bundles, and Almost Periodic Perturbations
• Invariant curves and time-dependent potentials
• Instability in Fermi-Ulam `ping-pong' problem
• Invariant curve theorem for quasiperiodic twist mappings and stability of motion in the Fermi-Ulam problem
• Escaping orbits are rare in the quasi-periodic Fermi–Ulam ping-pong
• Ergodic Theory
• On the Origin of the Cosmic Radiation
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