Department of Physics, East China Normal University, Shanghai 200062, People's Republic of China.
Chaos. 2013 Sep;23(3):033135. doi: 10.1063/1.4821426.
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.
已经发现，在从众振荡器形成的集体行为中，反向振荡器通常起着负面作用。然而，实验表明，即使在系统中有反向振荡器（如既有兴奋性神经元又有抑制性神经元的神经元网络）的情况下，也有可能实现强相干。为了理解这种异常现象的潜在机制，我们考虑了一个具有正负耦合的耦合 Kuramoto 振荡器的复杂网络，并提出了一种有效的方法，即针锋相对策略，来抑制反向振荡器在同步中的负面作用，从而提高同步的序参数。我们对两类反向振荡器进行了数值研究，并提供了简要的理论分析来解释数值结果。
