A crisis in the dissipative Fermi accelerator model

Leonel, Edson D. and McClintock, Peter V. E. (2005) A crisis in the dissipative Fermi accelerator model. Journal of Physics A: Mathematical and General, 38 (23). L425-L430. ISSN 0305-4470

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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