Chimera regimes in a ring of oscillators with local nonlinear interaction

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• 作者：Igor A. Shepelev ; ^a ; ^{igor_sar@li.ru" class="auth_mail" title="E-mail the corresponding author} ; Anna Zakharova^b ; ^{anna.zakharova@tu-berlin.de" class="auth_mail" title="E-mail the corresponding author} ; Tatiana E. Vadivasova^a ; ^{vadivasovate@yandex.ru" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Ensemble of oscillators ; Spatial structure ; Chimera ; Dynamical chaos ; Local coupling
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：44
• 期：Complete
• 页码：277-283
• 全文大小：1787 K

文摘

One of important problems concerning chimera states is the conditions of their existence and stability. Until now, it was assumed that chimeras could arise only in ensembles with nonlocal character of interactions. However, this assumption is not exactly right. In some special cases chimeras can be realized for local type of coupling [1–3]. We propose a simple model of ensemble with local coupling when chimeras are realized. This model is a ring of linear oscillators with the local nonlinear unidirectional interaction. Chimera structures in the ring are found using computer simulations for wide area of values of parameters. Diagram of the regimes on plane of control parameters is plotted and scenario of chimera destruction are studied when the parameters are changed.