Temporospatial synchronization of discrete Logistic map through complex network

Abstract In this paper, we study temporospatial synchronization behaviour of discrete Logistic maps under complex network. Our complex network is dynamic whose coupling connections are changed stochastically in time. Here we investigate the temporospatial synchronization of coupled discrete Logistic maps whose coupling connections are rewired randomly. Our aim is to determine (a) the effects of variation of randomness, (b) the effects of variation of coupling strength ϵ and (c) the effects of variation of parameter r . Linear stability analysis of the synchronized steady state solution is done analytically. We have calculated analytically the critical coupling coefficient for the transition to temporospatial regularity of the lattice. Our analytical results match very well with the numerical simulation results and lastly variations of the basin size with respect to rewiring probability with different coupling strengths are plotted. The simulation results will not change significantly with the variation of lattice size.