Selection, Stability and Renormalization
凝聚态物理
2009-10-22 v1 chao-dyn
混沌动力学
摘要
We illustrate how to extend the concept of structural stability through applying it to the front propagation speed selection problem. This consideration leads us to a renormalization group study of the problem. The study illustrates two very general conclusions: (1) singular perturbations in applied mathematics are best understood as renormalized perturbation methods, and (2) amplitude equations are renormalization group equations.
引用
@article{arxiv.cond-mat/9310008,
title = {Selection, Stability and Renormalization},
author = {Lin-Yuan Chen and Nigel Goldenfeld and Y. Oono and Glenn Paquette},
journal= {arXiv preprint arXiv:cond-mat/9310008},
year = {2009}
}
备注
38 pages, LaTeX, two PostScript figures available by anonymous ftp to gijoe.mrl.uiuc.edu (128.174.119.153) files /pub/front_kkfest_fig*