在什么样的参数波动下，时空规律性是最稳健的？
Under what kind of parametric fluctuations is spatiotemporal regularity the most robust?
摘要：
观察到当耦合混沌映射格子中的一部分规则耦合连接被随机连接所取代时，时空混沌被抑制到时空不动点.在这里，我们调查的影响，不同种类的参数波动的鲁棒性的时空不动点制度。特别是，我们研究的时空动力学的网络噪声的相互作用参数，即波动的随机链接和波动的耦合强度的分数。我们考虑三种类型的波动：（i）在时间上有噪声，但在空间上均匀;（ii）在空间上有噪声，但在时间上固定;（iii）在空间和时间上都有噪声。我们发现，不同的参数噪声对动力学的影响是不同的：猝灭的空间涨落对时空规则性的破坏最大，时空涨落产生的现象类似于参数保持在平均值时所观察到的现象;有趣的是，时空规律性在空间均匀的时间波动下是最鲁棒的，其实际上产生比在恒定平均值参数下获得的更大的定点范围。
英文摘要：
It was observed that the spatiotemporal chaos in lattices of coupled chaotic maps was suppressed to a spatiotemporal fixed point when some fraction of the regular coupling connections were replaced by random links. Here we investigate the effects of different kinds of parametric fluctuations on the robustness of this spatiotemporal fixed point regime. In particular we study the spatiotemporal dynamics of the network with noisy interaction parameters, namely fluctuating fraction of random links and fluctuating coupling strengths. We consider three types of fluctuations: (i) noisy in time, but homogeneous in space; (ii) noisy in space, but fixed in time; (iii) noisy in both space and time. We find that the effect of different kinds of parameteric noise on the dy- namics is quite distinct: quenched spatial fluctuations are the most detrimental to spatiotemporal regularity; spatiotemporal fluctuations yield phenomena similar to that observed when parameters are held constant at the mean-value; and interestingly, spatiotemporal regularity is most robust under spatially uniform temporal fluctuations, which in fact yields a larger fixed point range than that obtained under constant mean-value parameters.
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