Approximation of center manifolds on the renormalization group method

Hayato Chiba

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

The renormalization group (RG) method for differential equations is one of the perturbation methods for obtaining approximate solutions. This article shows that the RG method is effectual for obtaining an approximate center manifold and an approximate flow on it when applied to equations having a center manifold.

Original languageEnglish
Article number102703
JournalJournal of Mathematical Physics
Volume49
Issue number10
DOIs
Publication statusPublished - Nov 10 2008

Fingerprint

Center Manifold
renormalization group methods
Renormalization Group
Approximation
Perturbation Method
approximation
Approximate Solution
differential equations
Differential equation
perturbation

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Approximation of center manifolds on the renormalization group method. / Chiba, Hayato.

In: Journal of Mathematical Physics, Vol. 49, No. 10, 102703, 10.11.2008.

Research output: Contribution to journalArticle

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