Artículos de revistas
Some dynamical properties of a classical dissipative bouncing ball model with two nonlinearities
Fecha
2013-04-15Registro en:
Physica A: Statistical Mechanics and its Applications, v. 392, n. 8, p. 1762-1769, 2013.
0378-4371
10.1016/j.physa.2012.12.021
WOS:000315071100006
2-s2.0-84873721129
6130644232718610
Autor
Friedrich Alexander Universität Erlangen-Nürnberg
University of Maribor
Universidade Estadual Paulista (Unesp)
Institución
Resumen
Some dynamical properties for a bouncing ball model are studied. We show that when dissipation is introduced the structure of the phase space is changed and attractors appear. Increasing the amount of dissipation, the edges of the basins of attraction of an attracting fixed point touch the chaotic attractor. Consequently the chaotic attractor and its basin of attraction are destroyed given place to a transient described by a power law with exponent -2. The parameter-space is also studied and we show that it presents a rich structure with infinite self-similar structures of shrimp-shape. © 2013 Elsevier B.V. All rights reserved.