Fermi acceleration and scaling properties of a time dependent oval billiard

DOI10.1063/1.3227740zbMath1317.70007OpenAlexW2083101861WikidataQ51788954 ScholiaQ51788954MaRDI QIDQ5264306

Edson D. Leonel, Diego F. M. Oliveira, Alexander Yu. Loskutov

Publication date: 27 July 2015

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

Full work available at URL: http://hdl.handle.net/11449/42402

Mathematics Subject Classification ID

Related Items (11)

Evolution to the equilibrium in a dissipative and time dependent billiard ⋮ Fast Fermi Acceleration and Entropy Growth ⋮ Break-up of invariant curves in the Fermi-Ulam model ⋮ Boundary crisis and suppression of Fermi acceleration in a dissipative two-dimensional non-integrable time-dependent billiard ⋮ Fermi acceleration and its suppression in a time-dependent Lorentz gas ⋮ Recurrence of particles in static and time varying oval billiards ⋮ Circular, elliptic and oval billiards in a gravitational field ⋮ Competition between unlimited and limited energy growth in a two-dimensional time-dependent billiard ⋮ The role of dissipation in time-dependent non-integrable focusing billiards ⋮ Dynamical and statistical properties of a rotating oval billiard ⋮ Dynamical thermalization in time-dependent billiards

Cites Work

• Chaotic dynamics of a bouncing ball
• Particle dynamics in time-dependent stadium-like billiards
• Static and time-dependent perturbations of the classical elliptical billiard.
• Properties of some chaotic billiards with time-dependent boundaries
• Fermi acceleration in non-autonomous billiards
• Dynamical properties of a dissipative hybrid Fermi-Ulam-bouncer model
• The dynamics of repeated impacts with a sinusoidally vibrating table
• A hybrid Fermi–Ulam-bouncer model
• Bounded gain of energy on the breathing circle billiard
• Fermi acceleration on the annular billiard: a simplified version
• Scaling properties of a simplified bouncer model and of Chirikov's standard map
• The presence and lack of Fermi acceleration in nonintegrable billiards
• On the Origin of the Cosmic Radiation

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