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Identification of coupled map lattice models of complex spatio-temporal patterns. (English) Zbl 0971.37022

Summary: A method for the identification of nonlinear coupled map lattices equations from measured spatio-temporal data is introduced. The application of the algorithm is demonstrated using chaotic two-dimensional spatio-temporal patterns generated from interacting populations and the resulting models are validated by computing the attractors and the largest Lyapunov exponents.

MSC:

37H15 Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents
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