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A crisis in the dissipative Fermi accelerator model. (English) Zbl 1070.81515

Summary: 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.

MSC:

81Q50 Quantum chaos
81V70 Many-body theory; quantum Hall effect
37M20 Computational methods for bifurcation problems in dynamical systems

Software:

Dynamics
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