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A renormalization fixed point for Lorenz maps
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2010 (English)In: Nonlinearity, ISSN 0951-7715, E-ISSN 1361-6544, Vol. 23, no 6, 1291-1302 p.Article in journal (Refereed) Published
Abstract [en]

A Lorenz map is a Poincare map for a three-dimensional Lorenz flow. We describe the theory of renormalization for Lorenz maps with a critical point and prove that a restriction of the renormalization operator acting on such maps has a hyperbolic fixed point. The proof is computer assisted and we include a detailed exposition on how to make rigorous estimates using a computer as well as the implementation of the estimates.

Place, publisher, year, edition, pages
2010. Vol. 23, no 6, 1291-1302 p.
National Category
Computational Mathematics Other Physics Topics
Identifiers
URN: urn:nbn:se:kth:diva-27871DOI: 10.1088/0951-7715/23/6/003ISI: 000277640000003Scopus ID: 2-s2.0-77951920324OAI: oai:DiVA.org:kth-27871DiVA: diva2:385793
Note
QC 20110112Available from: 2011-01-12 Created: 2011-01-03 Last updated: 2017-12-11Bibliographically approved

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