, Volume 64, Issue 2, pp 159-170

A five-dimensional truncation of the plane incompressible Navier-Stokes equations

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Abstract

A five-modes truncation of the Navier-Stokes equations for a two dimensional incompressible fluid on a torus is considered. A computer analysis shows that for a certain range of the Reynolds number the system exhibits a stochastic behaviour, approached through an involved sequence of bifurcations.

Partially supported by G.N.F.M., C.N.R.
Communicated by J. L. Lebowitz