Chimera Ising walls in forced nonlocally coupled oscillators
Abstract
Nonlocally coupled oscillator systems can exhibit an exotic spatiotemporal structure called a chimera, where the system splits into two groups of oscillators with sharp boundaries, one of which is phase locked and the other phase randomized. Two examples of chimera states are known: the first one appears in a ring of phase oscillators, and the second is associated with two-dimensional rotating spiral waves. In this paper, we report yet another example of the chimera state that is associated with the so-called Ising walls in one-dimensional spatially extended systems. This chimera state is exhibited by a nonlocally coupled complex Ginzburg-Landau equation with external forcing.
- Publication:
-
Physical Review E
- Pub Date:
- May 2007
- DOI:
- arXiv:
- arXiv:nlin/0703015
- Bibcode:
- 2007PhRvE..75e6204K
- Keywords:
-
- 05.45.Xt;
- 82.40.Ck;
- Synchronization;
- coupled oscillators;
- Pattern formation in reactions with diffusion flow and heat transfer;
- Nonlinear Sciences - Pattern Formation and Solitons
- E-Print:
- 7 pages, 5 figures, to appear in Phys. Rev. E