97-285 P.COLLET

AMPLITUDE EQUATION FOR LATTICE MAPS, A RENORMALIZATION GROUP APPROACH (106K, Postscript gzipped uuencoded) May 19, 97

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Abstract. We consider the development of instabilities of homogeneous stationary solutions of discrete time lattice maps. Under some generic hypothesis we derive an amplitude equation which is the space-time continuous Ginzburg-Landau equation. Using dynamical renormalization group methods we control the accuracy of this approximation in a large ball of its basin of attraction.

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