dorsal/arxiv
View SchemaDynamical Reduction of Discrete Systems Based on the Renormalization Group Method
| Authors | T. Kunihiro, J. Matsukidaira |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9705003 |
| URL | https://arxiv.org/abs/patt-sol/9705003 |
| DOI | 10.1103/PhysRevE.57.4817 |
Abstract
The renormalization group (RG) method is extended for global asymptotic analysis of discrete systems. We show that the RG equation in the discretized form leads to difference equations corresponding to the Stuart-Landau or Ginzburg-Landau equations. We propose a discretization scheme which leads to a faithful discretization of the reduced dynamics of the original differential equations.
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"abstract": "The renormalization group (RG) method is extended for global asymptotic\nanalysis of discrete systems. We show that the RG equation in the discretized\nform leads to difference equations corresponding to the Stuart-Landau or\nGinzburg-Landau equations. We propose a discretization scheme which leads to a\nfaithful discretization of the reduced dynamics of the original differential\nequations.",
"arxiv_id": "patt-sol/9705003",
"authors": [
"T. Kunihiro",
"J. Matsukidaira"
],
"categories": [
"patt-sol",
"chao-dyn",
"cond-mat",
"hep-th",
"nlin.CD",
"nlin.PS",
"nlin.SI",
"solv-int"
],
"doi": "10.1103/PhysRevE.57.4817",
"title": "Dynamical Reduction of Discrete Systems Based on the Renormalization Group Method",
"url": "https://arxiv.org/abs/patt-sol/9705003"
},
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