论文标题
具有非线性排斥耦合的Van der Pol振荡器的2D晶格的动力学
Dynamics of a 2D lattice of van der Pol oscillators with nonlinear repulsive coupling
论文作者
论文摘要
我们描述了与二维几何形状相连的相同的van der振荡器网络中的时空模式。在这项研究中，我们表明，研究的系统表明，当耦合参数变化时，包括嵌合体状态在内的大量不同时空结构。当耦合强度很大并且耦合范围足够短时，在网络中形成螺旋波嵌合体。另一种类型的嵌合体是目标波嵌合体。结果表明，孤立状态在形成这种嵌合体状态的不一致集群中起着至关重要的作用。它们也可以在相干群集中传播。此外，当耦合范围增加时，目标波嵌合体将演变为随机分布在空间中的孤立状态的状态。增强耦合强度会导致孤立状态吸引到某个空间区域，而同步状态则设置在系统的另一部分。这种时空模式代表孤立状态嵌合体，该嵌合体首先在连续振荡器的系统中发现。我们提供了这些现象的解释，并详细描述了政权的演变。
We describe spatiotemporal patterns in a network of identical van der Pol oscillators coupled in a two-dimensional geometry. In this study, we show that the system under study demonstrates a plethora of different spatiotemporal structures including chimera states when the coupling parameters are varied. Spiral wave chimeras are formed in the network when the coupling strength is rather large and the coupling range is short enough. Another type of chimeras is a target wave chimera. It is shown that solitary states play a crucial role in forming an incoherence cluster of this chimera state. They can also spread within the coherence cluster. Furthermore, when the coupling range increases, the target wave chimera evolves to the regime of solitary states which are randomly distributed in space. Growing the coupling strength leads to the attraction of solitary states to a certain spatial region, while the synchronous regime is set in the other part of the system. This spatiotemporal pattern represents a solitary state chimera, which is firstly found in the system of continuous-time oscillators. We offer the explanation of these phenomena and describe the evolution of the regimes in detail.
