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

Research output: Contribution to journalJournal article

Published

Journal publication date09/2005
JournalChaos
Journal number3
Volume15
Pages033701
Original languageEnglish

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.