A renormalization group fixed point associated with the breakup of golden invariant tori
type: Item
instance of: scholarly article
title: A renormalization group fixed point associated with the breakup of golden invariant tori
zbMATH Open document ID: 1062.37057
author: Hans Koch
published in: Discrete and Continuous Dynamical Systems
publication date: 2005-02-28T00:00:00Z
review text: Renormalization group methods for Hamiltonian flows and related maps were introduced as a tool for explaining the breakup of golden invariant tori. Since then, these methods have been developed further and extended to other systems, but one of the main problems remained open, namely, the existence of a nontrivial renormalization group fixed-point. The present paper provides a computed-assisted proof, using the programming language ADA95, for the existence of such a fixed-point.
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 37E20
Mathematics Subject Classification ID: 70H08
Mathematics Subject Classification ID: 82B28
Mathematics Subject Classification ID: 37-04
zbMATH DE Number: 2139320
zbMATH Keywords: renormalization group
zbMATH Keywords: Hamiltonian flow
zbMATH Keywords: golden ratio
reviewed by: Mircea Crasmareanu
describes a project that uses: Ada95
MaRDI profile type: Publication
full work available at URL: dcds.2004.11.881
OpenAlex ID: W2014322132
DOI: 10.3934/DCDS.2004.11.881
description: scientific article; zbMATH DE number 2139320