Amplitude equation for lattice maps, a renormalization group approach
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Publication:1284840
DOI10.1023/A:1023212925677zbMATH Open0916.58018arXivpatt-sol/9705011OpenAlexW3100644553MaRDI QIDQ1284840
Publication date: 22 July 1999
Published in: Journal of Statistical Physics (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/patt-sol/9705011
Topological dynamics (37B99) Dynamic renormalization group methods applied to problems in time-dependent statistical mechanics (82C28)
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