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arXiv · patt-sol/9705011

Amplitude Equation for Lattice Maps, a Renormalization Group Approach

P. Collet
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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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P. Collet. 1997-05-22. Amplitude Equation for Lattice Maps, a Renormalization Group Approach. https://doi.org/10.1023/a%3A1023212925677

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