DYNAMICAL REDUCTION OF DISCRETE-SYSTEMS BASED ON THE RENORMALIZATION-GROUP METHOD

Authors
KUNIHIRO T MATSUKIDAIRA J
Citation
T. Kunihiro et J. Matsukidaira, DYNAMICAL REDUCTION OF DISCRETE-SYSTEMS BASED ON THE RENORMALIZATION-GROUP METHOD, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(4), 1998, pp. 4817-4820
Citations number
30
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
57
Issue
4
Year of publication
1998
Pages
4817 - 4820
Database
ISI
SICI code
1063-651X(1998)57:4<4817:DRODBO>2.0.ZU;2-7
Abstract
The renormalization-group (RG) method is extended for a global asympto tic analysis of discrete systems. We show that the RG equation in disc retized form leads to difference equations corresponding to the Stuart -Landau or Ginzburg-Landau equations. We propose a discretization sche me which leads to a faithful discretization of the reduced dynamics of the original differential equations.