Exponential Fermi acceleration in a switching billiard

DOI10.1007/S00220-022-04505-8OpenAlexW3209335511WikidataQ115608969 ScholiaQ115608969MaRDI QIDQ2698689

Davit Karagulyan, Jing Zhou

Publication date: 24 April 2023

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.11530

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Hamiltonian and Lagrangian mechanics (70Hxx) Dynamical systems with hyperbolic behavior (37Dxx)

Cites Work

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• Bouncing balls in nonlinear potentials
• Unbounded energy growth in Hamiltonian systems with a slowly varying parameter
• Fermi acceleration revisited
• Stability and instability results in a model of Fermi acceleration
• On statistical properties of hyperbolic systems with singularities
• Dynamics of some piecewise smooth Fermi-Ulam models
• Oscillating mushrooms: adiabatic theory for a non-ergodic system
• Fermi acceleration and adiabatic invariants for non-autonomous billiards
• Fermi acceleration in non-autonomous billiards
• 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
• Time-dependent billiards
• A rectangular billiard with moving slits
• Escaping orbits are rare in the quasi-periodic Fermi–Ulam ping-pong
• Probability Inequalities for Sums of Bounded Random Variables
• On the Origin of the Cosmic Radiation

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