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当振荡器之间的非局域耦合变强时:补丁同步或多嵌合体状态。

When nonlocal coupling between oscillators becomes stronger: patched synchrony or multichimera states.

机构信息

Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany.

出版信息

Phys Rev Lett. 2013 May 31;110(22):224101. doi: 10.1103/PhysRevLett.110.224101. Epub 2013 May 29.

Abstract

Systems of nonlocally coupled oscillators can exhibit complex spatiotemporal patterns, called chimera states, which consist of coexisting domains of spatially coherent (synchronized) and incoherent dynamics. We report on a novel form of these states, found in a widely used model of a limit-cycle oscillator if one goes beyond the limit of weak coupling typical for phase oscillators. Then patches of synchronized dynamics appear within the incoherent domain giving rise to a multi-chimera state. We find that, depending on the coupling strength and range, different multichimera states arise in a transition from classical chimera states. The additional spatial modulation is due to strong coupling interaction and thus cannot be observed in simple phase-oscillator models.

摘要

非局域耦合振荡器系统可以表现出复杂的时空模式,称为嵌同态,它由共存的空间相干(同步)和非相干动力学域组成。我们报告了在一个广泛使用的极限环振荡器模型中发现的这些状态的一种新形式,如果超出了典型的相位振荡器的弱耦合限制。然后,在非相干域内出现了同步动力学的斑块,导致多嵌同态的出现。我们发现,取决于耦合强度和范围,从经典嵌同态转变为不同的多嵌同态。额外的空间调制是由于强耦合相互作用,因此在简单的相位振荡器模型中观察不到。

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