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Coupled map lattices: one step forward and two steps back. (English) Zbl 0890.58029
Summary: We discuss the general notion of lattice dynamical systems and some recent progress in their studies. We also suggest an approach that allows to extract some information on the dynamics of finitely extended (“real”) systems from the results obtained on the infinitely extended (“artificial”) ones.

MSC:
37B99 Topological dynamics
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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