Coupling-modulated multi-stability and coherent dynamics in directed networks of heterogeneous nonlinear oscillators with modular topology

作     者：Steur, E. Tyukin, I. Gorban, A.N. Jarman, N. Nijmeijer, H. van Leeuwen, C. 

作者机构：Eindhoven University of Technology Institute for Complex Molecular Systems Netherlands University of Leicester Department of Mathematics Saint-Petersburg State Electrotechnical University Department of Automation and Control Processes Russia University of Leicester Department of Mathematics United Kingdom KU Leuven Department of Psychology Laboratory for Perceptual Dynamics Belgium Eindhoven University of Technology Department of Mechanical Engineering Netherlands 

出 版 物：《IFAC-PapersOnLine》 

年 卷 期：2016年第49卷第14期

页      面：62-67页

核心收录：

主　　题：Dynamics Eigenvalues and eigenfunctions Heterogeneous networks Synchronization Coupled systems Diffusive coupling Eigen value Modular network Wave solution 

摘      要：We discuss the dynamics of modular networks of coupled nonlinear systems. Networks of this class can be viewed as locally connected clusters or modules of nodes with directed links from one cluster to another. Let these connections form an oriented cycle. Here we show that if connectivity within isolated clusters is diffusive with relatively strong coupling, then spectral properties of the corresponding network coupling matrix promote emergence and co-existence of multiple coherent and orderly dynamic regimes. We hypothesise that, similar to our previous work on the dynamics of cycles, in addition to a nearly fully synchronous state, an attracting rotating wave solution may occur. Furthermore, prevalence of one solution type over the other could be determined by the combination of the cycle length, inter- and intra-cluster coupling strengths, and the number of elements in each module. Our preliminary numerical experiments support these hypotheses. © 2016