Chimera in multiplex networks

Abstract

Delay sheds light upon plenty of different characteristics of a nonlinear system which are either nonexisting or unrevealed without it. Here we unmask one of those nonexisting characteristics of First-order Kuramoto Oscillators ‘Solitary states’. Where the natural occurrence is not yet discovered in the First-order Kuramoto model, we propose a technique which can induce the Solitary states in it by applying the Delay in a multiplex network. This technique is equally useful to induce the Chimera states and is also extended to allow the switching between Solitary and Chimera states.