The identification of Coupled Map Lattice models for autonomous Cellular Neural Network patterns

The identification problem for spatiotemporal patterns which are generated by autonomous Cellular Neural Networks ( CNN) is investigated in this paper. The application of traditional identification algorithms to these special spatiotemporal systems can produce poor models due to the inherent piecewise nonlinear structure of CNN. To solve this problem, a new type of Coupled Map Lattice model with output constraints and corresponding identification algorithms are proposed in the present study. Numerical examples show that the identified CML models have good prediction capabilities even over the long term, and the main dynamics of the original patterns appears to be well represented.