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LETTER TO THE EDITOR

A crisis in the dissipative Fermi accelerator model

Edson D Leonel et al 2005 J. Phys. A: Math. Gen. 38 L425-L430   doi: 10.1088/0305-4470/38/23/L02  Help

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Edson D Leonel and P V E McClintock
Department of Physics, Lancaster University, Lancaster, LA1 4YB, UK

Abstract. The dynamics of the full, dissipative, Fermi accelerator model is shown to exhibit crisis events as the damping coefficient is varied. The investigation, based on analysis of a two-dimensional nonlinear map, has also led to a numerical determination of the basin of attraction for its chaotic attractor.

PACS numbers: 05.45.−a, 45.50.Dd

Print publication: Issue 23 (10 June 2005)
Received 19 January 2005, in final form 28 April 2005
Published 25 May 2005

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