耦合振子多频系综中的群间共振
Inter-community resonances in multifrequency ensembles of coupled oscillators
摘要：
我们推广仓本模型的全球耦合振荡器多频社区。当两个子种群的平均频率接近共振2：1的情况被详细考虑。我们得到一致旋转的解决方案，描述社区内部和社区之间的同步。值得注意的是，频率尺度之间的交叉耦合可以促进同步，即使合奏是单独异步的。我们还表明，过渡到同步由于交叉耦合是伴随着一个巨大的多样性的不同的同步解决方案是直接相关的多分支夹带。另一方面，对于同步布居，交叉频率耦合会破坏相位锁定，导致平均场的混沌。
英文摘要：
We generalize the Kuramoto model of globally coupled oscillators to multifrequency communities. A situation when mean frequencies of two subpopulations are close to resonance 2:1 is considered in detail. We derive uniformly rotating solutions describing synchronization inside communities and between them. Remarkably, cross-coupling between the frequency scales can promote synchrony even when ensembles are separately asynchronous. We also show that the transition to synchrony due to the cross-coupling is accompanied by a huge multiplicity of distinct synchronous solutions what is directly related to a multi-branch entrainment. On the other hand, for synchronous populations, the cross-frequency coupling can destroy a phase-locking and lead to chaos of mean fields.
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