具有均匀分布异质性的嵌合体：两个耦合种群
Chimeras with uniformly distributed heterogeneity: two coupled populations
摘要：
当一个种群中的振荡器同步而另一个种群中的振荡器不同步时，嵌合体就发生在两个耦合的振荡器种群的网络中。我们认为这种形式的嵌合体在网络中的平面振荡器，其中一个参数与一个振荡器的动态随机选择从一个均匀分布。对[C.R. Laing，Physical Review E，100，042211，2019]，其中涉及相同的振荡器，用于研究在无限数量的振荡器的限制下，这些异构网络的嵌合体的存在性和稳定性。在所有情况下，使振荡器更异质破坏稳定的嵌合体在鞍结分岔。这些结果有助于我们理解一般振子网络中嵌合体对异质性的鲁棒性。
英文摘要：
Chimeras occur in networks of two coupled populations of oscillators when the oscillators in one population synchronise while those in the other are asynchronous. We consider chimeras of this form in networks of planar oscillators for which one parameter associated with the dynamics of an oscillator is randomly chosen from a uniform distribution. A generalisation of the approach in [C.R. Laing, Physical Review E, 100, 042211, 2019], which dealt with identical oscillators, is used to investigate the existence and stability of chimeras for these heterogeneous networks in the limit of an infinite number of oscillators. In all cases, making the oscillators more heterogeneous destroys the stable chimera in a saddle-node bifurcation. The results help us understand the robustness of chimeras in networks of general oscillators to heterogeneity.
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