耦合连接中时空规律性对随机性的非普适依赖性
Non-universal dependence of spatiotemporal regularity on randomness in coupling connections
摘要：
我们研究了耦合非线性振子网络的时空动力学，由正弦圆映射建模，耦合连接具有不同程度的随机性。我们表明，由于随机链接$p$的不同分数的时空不动点的吸引盆的变化，是至关重要的本地动态的性质。甚至时空规律性对$p$的定性依赖也随着振子的角频率的变化而急剧变化，从单调增加或单调减少到非单调变化。因此，很明显，随机耦合连接对时空秩序的影响是高度非普适的，并且非常强烈地依赖于节点动力学。
英文摘要：
We investigate the spatiotemporal dynamics of a network of coupled nonlinear oscillators, modeled by sine circle maps, with varying degrees of randomness in coupling connections. We show that the change in the basin of attraction of the spatiotemporal fixed point due to varying fraction of random links $p$, is crucially related to the nature of the local dynamics. Even the qualitative dependence of spatiotemporal regularity on $p$ changes drastically as the angular frequency of the oscillators change, ranging from monotonic increase or monotonic decrease, to non-monotonic variation. Thus it is evident here that the influence of random coupling connections on spatiotemporal order is highly non-universal, and depends very strongly on the nodal dynamics.
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