Synchronization in dynamic network using threshold control approach

Abstract

Synchronization in time-varying (i.e., dynamic) network has been explored using different types of couplings during the last two decades. In this paper, we consider a dynamic network where the spatial position of each node decides the number of nodes with which it interacts. We analytically derive the density-dependent threshold of coupling strength for synchrony using linear stability analysis and numerically verify the obtained results. We use two paradigmatic chaotic systems, namely the Rössler and Lorenz models to affirm our claims.