非对称自适应诱导复杂网络的递归同步
Asymmetric Adaptivity induces Recurrent Synchronization in Complex Networks
摘要：
在化学、生态、气候或神经系统中，在连贯和不连贯阶段之间交替的节律活动无处不在。尽管其重要性，其出现的一般机制知之甚少。为了填补这一空白，我们提出了一个框架来描述复杂网络中的自适应互动的经常性同步的出现。这种现象在宏观层面上表现为连贯和不连贯的动态交替循环的时间情节。同时，各个节点的动态不会发生质的变化。我们确定非对称的适应规则和时间分离的适应和动态的各个节点的出现经常性同步的关键特征。我们的研究结果表明，不对称适应可能是模式生成器中经常出现的同步现象的基本成分，例如，在神经系统中。
英文摘要：
Rhythmic activities that alternate between coherent and incoherent phases are ubiquitous in chemical, ecological, climate, or neural systems. Despite their importance, general mechanisms for their emergence are little understood. In order to fill this gap, we present a framework for describing the emergence of recurrent synchronization in complex networks with adaptive interactions. This phenomenon is manifested at the macroscopic level by temporal episodes of coherent and incoherent dynamics that alternate recurrently. At the same time, the dynamics of the individual nodes do not change qualitatively. We identify asymmetric adaptation rules and temporal separation between the adaptation and the dynamics of individual nodes as key features for the emergence of recurrent synchronization. Our results suggest that asymmetric adaptation might be a fundamental ingredient for recurrent synchronization phenomena as seen in pattern generators, e.g., in neuronal systems.
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