Shrimp-shape domains in a dissipative kicked rotator.
Some dynamical properties for a dissipative kicked rotator are studied. Our results show that when dissipation is taken into account a drastic change happens in the structure of the phase space in the sense that the mixed structure is modified and attracting fixed points and chaotic attractors are observed. A detailed numerical investigation in a two-dimensional parameter space based on the behavior of the Lyapunov exponent is considered. Our results show the existence of infinite self-similar shrimp-shaped structures corresponding to periodic attractors, embedded in a large region corresponding to the chaotic regime.
CAMTP--Center for Applied Mathematics and Theoretical Physics, University of Maribor, Krekova 2, SI-2000 Maribor, Slovenia. diegofregolente@gmail.com
Diego F M
DF
Oliveira
Marko
M
Robnik
Edson D
ED
Leonel
D000465:Algorithms; D003198:Computer Simulation; D004735:Energy Transfer; D017711:Nonlinear Dynamics