Institute of Applied Physics of RAS, 46 Ulyanov Street, 603950, Nizhny Novgorod, Russia.
Institut für Theoretische Physik, Technische Universität Berlin, 10623 Berlin, Germany.
Phys Rev E. 2017 Dec;96(6-1):062211. doi: 10.1103/PhysRevE.96.062211. Epub 2017 Dec 19.
We report the phenomenon of self-organized emergence of hierarchical multilayered structures and chimera states in dynamical networks with adaptive couplings. This process is characterized by a sequential formation of subnetworks (layers) of densely coupled elements, the size of which is ordered in a hierarchical way, and which are weakly coupled between each other. We show that the hierarchical structure causes the decoupling of the subnetworks. Each layer can exhibit either a two-cluster state, a periodic traveling wave, or an incoherent state, and these states can coexist on different scales of subnetwork sizes.
我们报告了自适应耦合动力网络中分层多层结构和奇异态自组织涌现的现象。这个过程的特点是依次形成密集耦合元素的子网(层),其大小按层次顺序排列,并且彼此之间弱耦合。我们表明,分层结构导致子网的解耦。每个层可以表现出双簇态、周期性行波或非相干态,并且这些状态可以在不同的子网大小尺度上共存。