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生物神经元系统同步转迁动力学问题

         

摘要

There exist rich synchronization modes in biological neuronal systems, and conditions to realize different synchronizations have been investigated extensively. However, it is difficult to study the transitions among different synchronizations, though many efforts have been made. This paper mainly focuses on recent advances of synchronization transitions in neuronal systems. Complicated synchronization transitions and its possible mechanism are uncovered when the neuronal systems are subjected to different conditions such as coupling, delay and network topology. Finally, conclusion is drawn and some outlooks of future research are suggested.%生物神经元系统中存在着丰富的同步模式,不同同步模式的实现条件已经被广泛地研究.然而,不同同步模式之间的转迁是神经动力学研究领域的难点问题,近年来在此方面开展了许多相应的研究工作.本文主要阐述近年来在神经元系统同步转迁动力学方面的研究进展,揭示神经元系统在耦合、时滞和网络拓扑等不同参数作用下呈现的复杂的同步转迁动力学行为及其可能的动力学机制.最后总结研究进展的内容并提出对同步动力学今后研究的展望.

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