CAMTP--Center for Applied Mathematics and Theoretical Physics, University of Maribor, Krekova 2, SI-2000 Maribor, Slovenia.
Chaos. 2011 Dec;21(4):043122. doi: 10.1063/1.3657917.
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.
研究了耗散 kicked rotator 的一些动力学性质。我们的结果表明，当考虑耗散时，相空间的结构会发生剧烈变化，混合结构被修改，并且观察到吸引固定点和混沌吸引子。在基于 Lyapunov 指数行为的二维参数空间中进行了详细的数值研究。我们的结果表明，存在与周期吸引子对应的无限自相似虾形结构，嵌入在对应于混沌状态的大区域中。
