Amplitude mediated chimera states

TL;DR

This paper explores amplitude mediated chimera states in the non-local Complex Ginzburg-Landau Equation, revealing new dynamical behaviors and mapping their existence in parameter space, with potential applications in fluid dynamics.

Contribution

It demonstrates the existence of amplitude mediated chimera states in the NLCGLE and maps their parameter regions, highlighting a new dynamical regime in this system.

Findings

Existence of stationary and non-stationary two cluster chimera states.

Intermittent amplitude dips in phase incoherent regions.

Mapped existence regions in parameter space C_1 and C_2.

Abstract

We investigate the possibility of obtaining chimera state solutions of the non-local Complex Ginzburg-Landau Equation (NLCGLE) in the strong coupling limit when it is important to retain amplitude variations. Our numerical studies reveal the existence of a variety of amplitude mediated chimera states (including stationary and non-stationary two cluster chimera states), that display intermittent emergence and decay of amplitude dips in their phase incoherent regions. The existence regions of the single-cluster chimera state and both types of two cluster chimera states are mapped numerically in the parameter space of $C_1$ and $C_2$ the linear and nonlinear dispersion coefficients respectively of the NLCGLE. They represent a new domain of dynamical behaviour in the well explored rich phase diagram of this system. The amplitude mediated chimera states may find useful applications in understanding spatio-temporal patterns found in fluid flow experiments and other strongly coupled systems.