We study chimera states in one-dimensional and two-dimensional Gaussian coupled map lattices through simulations and experiments. Similar to the case of global coupling oscillators, individual lattices can be regarded as being controlled by a common mean field. A space-dependent order parameter is derived from a self-consistency condition in order to represent the collective state.
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Y. H. Ma, L.Q. Huang, C. M. Sun, and X. W. Li, Experimental system of coupled map lattices, Front. Phys. 10(3), 100504 (2015) https://doi.org/10.1007/s11467-015-0466-0