A renormalization fixed point for Lorenz maps
2010 (English)In: Nonlinearity, ISSN 0951-7715, E-ISSN 1361-6544, Vol. 23, no 6, 1291-1302 p.Article in journal (Refereed) Published
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.
Computational Mathematics Other Physics Topics
IdentifiersURN: urn:nbn:se:kth:diva-27871DOI: 10.1088/0951-7715/23/6/003ISI: 000277640000003ScopusID: 2-s2.0-77951920324OAI: oai:DiVA.org:kth-27871DiVA: diva2:385793
QC 201101122011-01-122011-01-032011-01-12Bibliographically approved