Erosion of synchronization: Coupling heterogeneity and network structure

PHYSICA D-NONLINEAR PHENOMENA

卷:323

Article

Skardal, Per Sebastian^1,2  Taylor, Dane³  Sun, Jie⁴  Arenas, Alex² 

[1] Trinity Coll, Dept Math, Hartford, CT 06106 USA

[2] Univ Rovira & Virgili, Dept Engn Informat & Matemat, E-43007 Tarragona, Spain

[3] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA

[4] Clarkson Univ, Dept Math, Potsdam, NY 13699 USA

关键词: Synchronization;    Complex networks;    Nonlinear dynamics;   

DOI  :  10.1016/j.physd.2015.10.015

来源: Elsevier

【 摘 要 】

We study the dynamics of network-coupled phase oscillators in the presence of coupling frustration. It was recently demonstrated that in heterogeneous network topologies, the presence of coupling frustration causes perfect phase synchronization to become unattainable even in the limit of infinite coupling strength. Here, we consider the important case of heterogeneous coupling functions and extend previous results by deriving analytical predictions for the total erosion of synchronization. Our analytical results are given in terms of basic quantities related to the network structure and coupling frustration. In addition to fully heterogeneous coupling, where each individual interaction is allowed to be distinct, we also consider partially heterogeneous coupling and homogeneous coupling in which the coupling functions are either unique to each oscillator or identical for all network interactions, respectively. We demonstrate the validity of our theory with numerical simulations of multiple network models, and highlight the interesting effects that various coupling choices and network models have on the total erosion of synchronization. Finally, we consider some special network structures with well-known spectral properties, which allows us to derive further analytical results. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free