Scaling properties of the regular dynamics for a dissipative bouncing ball model

Edson D. Leonel, Diego F.M. Oliveira and R. Egydio de Carvalho

Physica A: Statistical Mechanics and its Applications, 2007, vol. 386, issue 1, 73-78

Abstract: Some scaling properties of the regular dynamics for a dissipative version of the one-dimensional Fermi accelerator model are studied. The dynamics of the model is given in terms of a two-dimensional nonlinear area contracting map. Our results show that the velocities of saddle fixed points (saddle velocities) can be described using scaling arguments for different values of the control parameter.

Keywords: Fermi accelerator; Scaling laws; Saddle velocities (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:386:y:2007:i:1:p:73-78

DOI: 10.1016/j.physa.2007.08.017

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