抑制反向振子在同步中负面作用的有效方法
An efficient approach to suppress the negative role of contrarian oscillators in synchronization
摘要：
研究发现，在从众振荡子形成的集体行为中，反向振荡子通常起着消极的作用。然而，实验表明，即使在系统中存在逆向者，例如具有可兴奋和抑制神经元的神经元网络，也有可能实现强一致性。为了理解这一反常现象的内在机制，我们考虑了一个由正负耦合的仓本振子组成的复杂网络，并提出了一种有效的方法，即针锋相对策略，来抑制反向振子在同步中的负面作用，从而增加同步的序参量.数值研究了两类反向振荡器，并对数值结果进行了简要的理论分析。
英文摘要：
It has been found that contrarian oscillators usually take a negative role in the collective behaviors formed by conformist oscillators. However, experiments revealed that it is also possible to achieve a strong coherence even when there are contrarians in the system such as neuron networks with both excitable and inhibitory neurons. To understand the underlying mechanism of this abnormal phenomenon, we here consider a complex network of coupled Kuramoto oscillators with mixed positive and negative couplings and present an efficient approach, i.e. tit-for-tat strategy, to suppress the negative role of contrarian oscillators in synchronization and thus increase the order parameter of synchronization. Two classes of contrarian oscillators are numerically studied and a brief theoretical analysis is provided to explain the numerical results.
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