title: Scaling properties for a classical particle in a time-dependent potential well.
abstract: Some scaling properties for a classical particle interacting with a time-dependent square-well potential are studied. The corresponding dynamics is obtained by use of a two-dimensional nonlinear area-preserving map. We describe dynamics within the chaotic sea by use of a scaling function for the variance of the average energy, thereby demonstrating that the critical exponents are connected by an analytic relationship.
authors.affiliation: Department of Physics, Lancaster University, Lancaster, LA1 4YB, United Kingdom. e.leonel@lancaster.ac.uk
authors.forename: Edson D
authors.initials: ED
authors.lastname: Leonel
authors.forename: P V E
authors.initials: PV
authors.lastname: McClintock
mesh_terms: D000465:Algorithms; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D004058:Diffusion; D008954:Models, Biological; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D010316:Particle Size