耦合随机振子的同步效率：连接拓扑的作用
Synchronization efficiency in coupled stochastic oscillators: The role of connection topology
摘要：
研究了全同耦合随机振子系统的系综同步效率。通过推导化学朗之万方程，我们测量系统同步的速率。系统的希尔伯特相位差的演化速率提供了一个合适的序参量，并且二维递归图进一步便于随机同步的分析。我们发现，全球平均场耦合效应的最快速的方法，全球同步，当“携带信息”的分子物种的数量增加，同步率增加。朗之万分析的补充数值模拟。
英文摘要：
We study the efficiency of synchronization in ensembles of identical coupled stochastic oscillator systems. By deriving a chemical Langevin equation, we measure the rate at which the systems synchronize. The rate at which the difference in the Hilbert phases of the systems evolve provides a suitable order parameter, and a 2--dimensional recurrence plot further facilitates the analysis of stochastic synchrony. We find that a global mean--field coupling effects the most rapid approach to global synchrony, and that when the number of "information carrying" molecular species increases, the rate of synchrony increases. The Langevin analysis is complemented by numerical simulations.
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