Parameter space for a dissipative Fermi-Ulam model

Details Parameter space for a dissipative Fermi-Ulam model Parameter space for a dissipative Fermi-Ulam model

Dec 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011njph...13l3012o&link_type=abstract

New Journal of Physics, Volume 13, Issue 12, pp. 123012 (2011).

Physics

Scientific paper

The parameter space for a dissipative bouncing ball model under the effect of inelastic collisions is studied. The system is described using a two-dimensional nonlinear area-contracting map. The introduction of dissipation destroys the mixed structure of phase space of the non-dissipative case, leading to the existence of a chaotic attractor and attracting fixed points, which may coexist for certain ranges of control parameters. We have computed the average velocity for the parameter space and made a connection with the parameter space based on the maximum Lyapunov exponent. For both cases, we found an infinite family of self-similar structures of shrimp shape, which correspond to the periodic attractors embedded in a large region that corresponds to the chaotic motion.

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