Delay-induced cluster patterns in coupled Cayley tree networks
Complex Systems Lab, Indian Institute of Technology Indore, IET-DAVV Campus Khandwa Road, Indore 452017, India
Revised: 3 May 2013
Published online: 11 July 2013
We study effects of delay in diffusively coupled logistic maps on the Cayley tree networks. We find that smaller coupling values exhibit sensitiveness to value of delay, and lead to different cluster patterns of self-organized and driven types. Whereas larger coupling strengths exhibit robustness against change in delay values, and lead to stable driven clusters comprising nodes from last generation of the Cayley tree. Furthermore, introduction of delay exhibits suppression as well as enhancement of synchronization depending upon coupling strength values. To the end we discuss the importance of results to understand conflicts and cooperations observed in family business.
© EDP Sciences, Springer-Verlag, 2013