随机耦合最佳窗口中时空规律性的增强
Enhancement of spatiotemporal regularity in an optimal window of random coupling
摘要：
我们研究了耦合混沌映射的晶格的时空动力学，其耦合连接以概率p动态地重新连接到随机站点，即在任何时刻，以概率p将常规链接切换到随机链接。在弱耦合的范围内，当p = 0时，正则格点存在时空混沌，当p > 0时，我们得到同步的周期轨道。此外，我们观察到这种规律性发生在p值的窗口上，超过该窗口，同步周期的吸引盆收缩到零。因此，我们有证据表明，在耦合连接的随机性的最佳范围内，时空规律性是有效地获得。这与通常观察到的同步随p增加而单调增加形成对比，例如，在同一系统的强耦合区域中。
英文摘要：
We investigate the spatiotemporal dynamics of a lattice of coupled chaotic maps whose coupling connections are dynamically rewired to random sites with probability p, namely at any instance of time, with probability p a regular link is switched to a random one. In a range of weak coupling, where spatiotemporal chaos exists for regular lattices (i.e. for p = 0), we find that p > 0 yields synchronized periodic orbits. Further we observe that this regularity occurs over a window of p values, beyond which the basin of attraction of the synchronized cycle shrinks to zero. Thus we have evidence of an optimal range of randomness in coupling connections, where spatiotemporal regularity is efficiently obtained. This is in contrast to the commonly observed monotonic increase of synchronization with increasing p, as seen for instance, in the strong coupling regime of the very same system.
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