Dudkowski Dawid, Maistrenko Yuri, Kapitaniak Tomasz
Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland.
Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland and Institute of Mathematics and Centre for Medical and Biotechnical Research, National Academy of Sciences of Ukraine, Tereshchenkivska Street 3, 01030, Kyiv, Ukraine.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Sep;90(3):032920. doi: 10.1103/PhysRevE.90.032920. Epub 2014 Sep 23.
We discuss the occurrence of chimera states in networks of nonlocally coupled bistable oscillators, in which individual subsystems are characterized by the coexistence of regular (a fixed point or a limit cycle) and chaotic attractors. By analyzing the dependence of the network dynamics on the range and strength of coupling, we identify parameter regions for various chimera states, which are characterized by different types of chaotic behavior at the incoherent interval. Besides previously observed chimeras with space-temporal and spatial chaos in the incoherent intervals we observe another type of chimera state in which the incoherent interval is characterized by a central interval with standard space-temporal chaos and two narrow side intervals with spatial chaos. Our findings for the maps as well as for time-continuous van der Pol-Duffing's oscillators reveal that this type of chimera states represents characteristic spatiotemporal patterns at the transition from coherence to incoherence.
我们讨论了非局部耦合双稳振荡器网络中嵌合体状态的出现,其中各个子系统的特征是规则(一个不动点或一个极限环)和混沌吸引子共存。通过分析网络动力学对耦合范围和强度的依赖性,我们确定了各种嵌合体状态的参数区域,这些区域在非相干区间具有不同类型的混沌行为特征。除了之前观察到的在非相干区间具有时空和空间混沌的嵌合体之外,我们还观察到另一种类型的嵌合体状态,其中非相干区间的特征是一个具有标准时空混沌的中心区间和两个具有空间混沌的狭窄侧边区间。我们对映射以及时间连续的范德波尔 - 达芬振荡器的研究结果表明,这种类型的嵌合体状态代表了从相干到非相干转变时的特征时空模式。