Amplitude mediated chimera states
| Autor: | Sethia, Gautam C, Sen, Abhijit, Johnston, George L. |
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| Rok vydání: | 2013 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevE.88.042917 |
| Popis: | 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. Comment: 5 pages, 3 figures, to appear in Phys. Rev. E |
| Databáze: | arXiv |
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