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A crisis in the dissipative Fermi accelerator model

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Edson D Leonel and P V E McClintock

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LETTER TO THE EDITOR

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

05.45.Pq Numerical simulations of chaotic systems

MSC

37D45 Strange attractors, chaotic dynamics

Subjects

Statistical physics and nonlinear systems

Dates

Issue 23 (10 June 2005)

Received 19 January 2005, in final form 28 April 2005

Published 25 May 2005



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