Scaling properties for a classical particle in a time-dependent potential well

DOI10.1063/1.1941067zbMath1144.37369OpenAlexW2151269432WikidataQ51961123 ScholiaQ51961123MaRDI QIDQ3529545

Edson D. Leonel, Peter V. E. McClintock

Publication date: 14 October 2008

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

Full work available at URL: https://eprints.lancs.ac.uk/id/eprint/9407/1/Chaos2005Scaling.pdf

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (6)

Resonant barrier crossing in a modulated classical double well potential ⋮ A rescaling of the phase space for Hamiltonian map: applications on the Kepler map and mappings with diverging angles in the limit of vanishing action ⋮ On the dynamical properties of an elliptical-oval billiard with static boundary ⋮ Scaling properties of a hybrid Fermi-Ulam-bouncer model ⋮ Phase transition in dynamical systems: defining classes of universality for two-dimensional Hamiltonian mappings via critical exponents ⋮ Problems on time-varying domains: formulation, dynamics, and challenges

Cites Work

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• Numerical study of billiard motion in an annulus bounded by non-concentric circles
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• Properties of some chaotic billiards with time-dependent boundaries
• Activated escape of periodically driven systems
• Classical billiards in magnetic fields
• One-dimensional diffusion through single- and double-square barriers
• Stochastic resonance in a bistable piecewise potential: analytical solution
• Dynamical properties of a particle in a time-dependent double-well potential
• Chaotic classical scattering and dynamics in oscillating 1-D potential wells

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