Synchronization in network motifs of three piecewise Rössler systems coupled in ring configuration

Abstract

In this work, we study the synchronization in the network motifs of three piecewise Rössler systems that exhibit coexistence of two attractors, coupled in ring configuration, in particular a bidirectional auxiliary coupling. For this configuration, we analyze the interaction of the systems by varying the coupling strengths, in order to characterize the conditions under which complete synchronization between the three systems can be achieved. The numerical results prove that the interaction of various multistable chaotic systems causes different types of synchronization and very complex dynamics between the systems is achieved. We obtain complete synchronization between the three systems and find the range of values of the coupling strengths where the distinct types of synchronization occur.