Amplitude mediated chimera states

2013/04/30 by Gautam C Sethia, Abhijit Sen, George L. Johnston · 2 citations
Physics and Astronomy · #nlin.CD #nlin.PS

paper · pdf · doi:10.1103/physreve.88.042917

5 pages, 3 figures, to appear in Phys. Rev. E

arxiv created 2013/10/04 · arxiv updated 2015/06/15

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 C₁ and C₂ 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.

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• A robust method to identify chimera states
• Classification of Chimera States via Fourier Analysis and Unsupervised Learning

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