## The Kuramoto-Sivashinsky equation: Spatio-temporal chaos and intermittencies for a dynamical system

Description:
We survey some recent results on the finite-dimensional behavior of the Kuramoto-Sivashinsky equation. We outline how it is rigorously equivalent to a finite dimensional dynamical system on a finite ''inertial'' manifold; a geometric approach to the construction of such a manifold is given. We give some examples of computational simulations supporting the evidence for a low-dimensional vector field which rules the bifurcations of the inertial manifold. 45 refs., 21 figs.

Date:
January 1, 1986

Creator:
Nicolaenko, B.

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