论文标题
外部动力学剂诱导的振幅嵌合体和嵌合体死亡
Amplitude chimera and chimera death induced by external dynamical agents
论文作者
论文摘要
我们报告了在两层网络中稳定振幅嵌合体和嵌合体死亡的出现,其中一层具有相同的非线性振荡器的集合,直接通过局部耦合并通过构成第二层的动态剂进行间接相互作用。第二层动态试剂之间相互作用的非局部性诱导第一层中不同类型的嵌合体相关的动态状态。发现其中开发的振幅嵌合体非常稳定,而嵌合死亡状态则因提高耦合强度而普遍存在。提出的结果是针对耦合的Stuart-Landau振荡器的系统,并且可以在一般情况下表示具有短距离交互的系统,该系统与另一组具有远距离相互作用的系统。在这种情况下,通过调整振荡器之间的相互作用范围或两种类型系统之间的耦合强度,我们可以控制嵌合体状态的性质,并且可以将系统恢复为均匀的稳态。与远距离相互作用非局部相互作用的动态剂可以视为动态环境或与系统相互作用的介质。我们指出,在各种可能的相互作用下,第二层如何充当第一层的增强机制,从而获得理想的效果。
We report the emergence of stable amplitude chimeras and chimera death in a two-layer network where one layer has an ensemble of identical nonlinear oscillators interacting directly through local coupling and indirectly through dynamic agents that form the second layer. The nonlocality in the interaction among the dynamical agents in the second layer induces different types of chimera related dynamical states in the first layer. The amplitude chimeras developed in them are found to be extremely stable, while chimera death states are prevalent for increased coupling strengths. The results presented are for a system of coupled Stuart-Landau oscillators and can in general represent systems with short-range interactions coupled to another set of systems with long range interactions. In this case, by tuning the range of interactions among the oscillators or the coupling strength between the two types of systems, we can control the nature of chimera states and the system can be restored to homogeneous steady states. The dynamic agents interacting nonlocally with long-range interactions can be considered as a dynamic environment or medium interacting with the system. We indicate how the second layer can act as a reinforcement mechanism on the first layer under various possible interactions for desirable effects.