DOCUMENTA MATHEMATICA, Extra Volume ICM III (1998), 123-132

P. Collet

Title: Extended Dynamical Systems

We discuss the dynamics of dissipative systems defined in unbounded space domains, and in particular results on the existence of the semi-flow of evolution, on the development structures due to instabilities, and on large time behaviors.

1991 Mathematics Subject Classification: 35K, 58F, 76E, 76R.

Keywords and Phrases: Amplitude equations, renormalization group, attractors, $\epsilon$-entropy.

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