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首页> 外文期刊>World Journal of Mechanics >Explosive Synchronization in Complex Dynamical Networks Coupled with Chaotic Systems
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Explosive Synchronization in Complex Dynamical Networks Coupled with Chaotic Systems

机译：带有混沌系统的复杂动力网络中的爆炸同步

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Explosive synchronization (ES), as one kind of abrupt dynamical transitions in nonlinearly coupled systems, has become a hot spot of modern complex networks. At present, many results of ES are based on the networked Kuramoto oscillators and little attention has been paid to the influence of chaotic dynamics on synchronization transitions. Here, the unified chaotic systems (Lorenz, Lü and Chen) and R ? ssler systems are studied to report evidence of an explosive synchronization of chaotic systems with different topological network structures. The results show that ES is clearly observed in coupled Lorenz systems. However, the continuous transitions take place in the coupled Chen and Lü systems, even though a big shock exits during the synchronization process. In addition, the coupled R ? ssler systems will keep synchronous once the entire network is completely synchronized, although the coupling strength is reduced. Finally, we give some explanations from the dynamical features of the unified chaotic systems and the periodic orbit of the R ? ssler systems.
机译：爆炸同步（ES）作为非线性耦合系统中的一种突然的动态过渡，已经成为现代复杂网络的一个热点。目前，ES的许多结果都基于网络化的Kuramoto振荡器，并且很少关注混沌动力学对同步跃迁的影响。在这里，统一的混沌系统（Lorenz，Lü和Chen）和R？对ssler系统进行了研究，以报告具有不同拓扑网络结构的混沌系统爆炸性同步的证据。结果表明，在耦合的Lorenz系统中可以清楚地观察到ES。但是，即使在同步过程中产生了很大的冲击，在耦合的Chen和Lü系统中也会发生连续过渡。另外，耦合R≥一旦整个网络完全同步，尽管耦合强度降低，但ssler系统将保持同步。最后，我们从统一混沌系统的动力学特征和R的周期轨道给出一些解释。 ssler系统。

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