Controlling chimera states in multilayer network through linear augmentation

TL;DR

This paper introduces a linear augmentation method to control the spatial features of chimera states in multilayer networks, demonstrating stability and independence from initial conditions and coupling mechanisms.

Contribution

The study presents a novel linear augmentation technique to control chimera states' location and stability in multilayer networks, regardless of initial conditions or coupling types.

Findings

Control over chimera states' spatial location achieved

Control method is independent of coupling mechanisms

Stability of states verified via Lyapunov exponents and Master stability function

Abstract

In this work we present a method to control chimera states through linear augmentation. Using an ensemble of globally coupled oscillators, we demonstrate that control over the spatial location of the incoherent or coherent regions of a chimera state in a network can be achieved. This is characterized by exploring their basins of attraction. We also verify the stability of different states present in the coupled systems before and after linear augmentation by calculating the transverse Lyapunov exponent and Master stability function. We observe that the control through this technique is independent of the coupling mechanisms and also on the initial conditions chosen for the creation of chimera states.