Artigo
Parameter space for a dissipative Fermi-Ulam model
Fecha
2011-12-08Registro en:
New Journal of Physics. Bristol: Iop Publishing Ltd, v. 13, p. 13, 2011.
1367-2630
10.1088/1367-2630/13/12/123012
WOS:000299005300001
WOS000299005300001.pdf
6130644232718610
0000-0001-8224-3329
Autor
Max Planck Inst Phys Komplexer Syst
Univ Maribor
Universidade Estadual Paulista (Unesp)
Resumen
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.