Regular Article

Effect of inhomogeneous coupling on the synchronization of a network

Department of Mathematics, Serampore Girls’ College, Serampore, Hooghly-712201, West Bengal, India

^a e-mail: mayurakshimath@gmail.com

Received: 11 September 2019
Received in final form: 5 December 2019
Published online: 10 August 2020

Abstract

The synchronization properties of a distance dependent coupling induced network of logistic maps have been investigated. Synchronized periodic orbits, synchronized chaos, cluster, etc. emerge as a result of inhomogeneity in coupling. Of course, coupling constant and coupling function have huge impact on generating different dynamical behavior. The condition for the existence of synchronized fixed point orbit is simulated. It has also been found that the state variable exists even in a range of the parameter for which the local map diverges. In this context, the condition for the divergence of the network has been determined analytically. These results are in good agreement with the numerical findings.