2014/04/03 by Suman Acharyya, Acharyya, Suman, R. E. Amritkar +1
Computer Science · Physics and Astronomy · #Cellular Automata and Applications #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Neural Networks and Applications #Nonlinear Dynamics and Pattern Formation #Physics and Society (physics.soc-ph) #nlin.CD #physics.soc-ph
paper · pdf · doi:10.48550/arxiv.1404.0869
13 pages, 25 figures
arxiv created 2014/04/03 · openalex publication_date 2014/04/03 · arxiv updated 2014/04/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper we use the master stability function (MSF) for nearly identical dynamical systems obtained in the previous paper to construct optimized networks (ONs) which show better synchronizability. Nearly identical nature is the result of having some node dependent parameters (NDPs) in the dynamics. We study the correlation between various network properties and the values of NDPs on different nodes for the optimized networks and compare them with random networks using the example of coupled Rössler systems. In an ON, the nodes with NDP values at one extreme, e.g. nodes with higher frequencies in coupled Rössler systems, have higher degrees and are chosen as hubs. These nodes also show higher betweenness centrality. The links in ON are preferably between nodes with large differences in NDP values. The ONs have in general higher clustering coefficient. We also study other network properties such as average shortest path, degree mixing etc. and their relation to the NDP in ON. We consider cases of both one and two NDPs and also directed networks.