具有稀疏随机交叉连接的电化学振荡器环网络中的复杂旋转波和长瞬态
Complex Rotating Waves and Long Transients in a Ring-Network of Electrochemical Oscillators with Sparse Random Cross-Connections
摘要：
我们进行实验和相模型模拟与振荡电化学反应的环形网络，以探讨随机连接和非等时的相互作用的斑图形成的效果。一些额外的链接有助于完全同步状态的出现。在较大的非等时性下，复杂的旋转波或持续的不规则相位动力学会破坏全局同步的收敛。观察到的不规则相位动态的长瞬变增加了在没有任何外部刺激或网络重组的情况下突然发生超同步行为的可能性。
英文摘要：
We perform experiments and phase model simulations with a ring network of oscillatory electrochemical reactions to explore the effect of random connections and non-isochronocity of the interactions on the pattern formation. A few additional links facilitate the emergence of the fully synchronized state. With larger non-isochronicity, complex rotating waves or persistent irregular phase dynamics can derail the convergence to global synchronization. The observed long transients of irregular phase dynamics exemplify the possibility of a sudden onset of hyper synchronous behavior without any external stimulus or network reorganization.
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