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Traveling chimera states in continuous media
Communications in Nonlinear Science and Numerical Simulation ( IF 3.4 ) Pub Date : 2020-10-06 , DOI: 10.1016/j.cnsns.2020.105559
A.J. Alvarez-Socorro , M.G. Clerc , N. Verschueren

Coupled oscillators exhibit intriguing dynamical states characterized by the coexistence of coherent and incoherent domains known as chimera states. Similar behaviors have been observed in coupled systems and continuous media. Here we investigate the transition from motionless to traveling chimera states in continuous media. Based on a prototype model for pattern formation, we observe coexistence between motionless and traveling chimera states. The spatial disparity of chimera states allows us to reveal the motion mechanism. The propagation of chimera states is described by their median and centroidal point. The mobility of these states depends on the size of the incoherent domain. The bifurcation diagram of traveling chimeras is elucidated.



中文翻译:

连续媒体中的嵌合体旅行状态

耦合振荡器表现出令人着迷的动态状态,其特征是被称为嵌合态的相干域和非相干域共存。在耦合系统和连续介质中已经观察到类似的行为。在这里,我们研究了连续媒体中从静止状态到行进嵌合状态的过渡。基于模式形成的原型模型,我们观察到静止和行进嵌合状态之间的共存。嵌合态的空间差异使我们能够揭示运动机理。嵌合体状态的传播通过其中点和质心点来描述。这些状态的迁移率取决于非相干域的大小。阐明了行进嵌合体的分叉图。

更新日期:2020-10-17
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