On the renormalization of Hamiltonian flows, and critical invariant tori
type: Item
instance of: scholarly article
title: On the renormalization of Hamiltonian flows, and critical invariant tori
zbMATH Open document ID: 1162.37321
author: Hans Koch
published in: Discrete and Continuous Dynamical Systems
publication date: 2002-06-06T00:00:00Z
review text: We analyze a renormalization group transformation \(\mathcal R\) for partially analytic Hamiltonians, with emphasis on what seems to be needed for the construction of non-integrable fixed points. Under certain assumptions, which are supported by numerical data in the golden mean case, we prove that such a fixed point has a critical invariant torus. The proof is constructive and can be used for numerical computations. We also relate \(\mathcal R\) to a renormalization group transformation for commuting maps.
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 70H08
Mathematics Subject Classification ID: 37E20
zbMATH DE Number: 1751467
MaRDI profile type: Publication
full work available at URL: dcds.2002.8.633
OpenAlex ID: W2091480635
DOI: 10.3934/DCDS.2002.8.633
description: scientific article; zbMATH DE number 1751467