Fractal dimension in dissipative chaotic scattering.
Fractal dimension in dissipative chaotic scattering.
复制标题
耗散混沌散射中的分形维数。
DOI：
10.1103/physreve.76.016208
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Y. Lai
中科院分区：
文献类型：
--
作者：
J. Seoane;M. Sanjuán;Y. Lai
弱耗散对混沌散射的影响与物理兴趣有关。我们研究了当系统逐渐耗散时，散射函数中奇点集的分形维数是如何变化的。发现了一种交叉现象，当耗散参数从零开始增加时，尺寸下降相对更快，然后显示出更慢的下降速度。我们从离散时间和连续时间散射系统中提供了启发式理论和数值支持来建立这种现象的普遍性。我们的结果有望对诸如开放混沌流中惯性粒子的平流等物理现象具有重要意义。
The effect of weak dissipation on chaotic scattering is relevant to situations of physical interest. We investigate how the fractal dimension of the set of singularities in a scattering function varies as the system becomes progressively more dissipative. A crossover phenomenon is uncovered where the dimension decreases relatively more rapidly as a dissipation parameter is increased from zero and then exhibits a much slower rate of decrease. We provide a heuristic theory and numerical support from both discrete-time and continuous-time scattering systems to establish the generality of this phenomenon. Our result is expected to be important for physical phenomena such as the advection of inertial particles in open chaotic flows, among others.