Exploring chimera in networks

Abstract

The coexistence nature of both coherent and incoherent state in non-locally coupled identical oscillators in a structurally symmetric network is termed as chimera. Study of chimera has become very popular in the past decades due to its peculiar behavior. There has been numerous method adopted to observe chimera. Here we investigate on Kuramoto model and the logistic map model. We study the impact of multiplexing a repulsively coupled second layer on the positively coupled rst layer. We report that a repulsively coupled layer enhance the appearance of chimera in the positively coupled layer. We study the logistic map model for both single and multiplex network, ignoring the effect of the delay. Furthermore adding delay to the nodes of a single layer network, we investigate how does this affect the dynamics of the system. We also study the role of homogeneous and heterogeneous delay to produce chimera state.