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On the Hyperbolicit...
On the Hyperbolicity of Lorenz Renormalization
- Article/chapterEnglish2014
Publisher, publication year, extent ...
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2013-12-05
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Springer Science and Business Media LLC,2014
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printrdacarrier
Numbers
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LIBRIS-ID:oai:DiVA.org:kth-140371
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https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-140371URI
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https://doi.org/10.1007/s00220-013-1858-zDOI
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Language:English
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Summary in:English
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Subject category:ref swepub-contenttype
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Subject category:art swepub-publicationtype
Notes
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QC 20140123
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We consider infinitely renormalizable Lorenz maps with real critical exponent alpha > 1 of certain monotone combinatorial types. We prove the existence of periodic points of the renormalization operator, and that each map in the limit set of renormalization has an associated two-dimensional strong unstable manifold. For monotone families of Lorenz maps we prove that each infinitely renormalizable combinatorial type has a unique representative within the family. We also prove that each infinitely renormalizable map has no wandering intervals, is ergodic, and has a uniquely ergodic minimal Cantor attractor of measure zero.
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Winckler, BjörnKTH,Matematik (Inst.)(Swepub:kth)u1a91i70
(author)
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KTHMatematik (Inst.)
(creator_code:org_t)
Related titles
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In:Communications in Mathematical Physics: Springer Science and Business Media LLC325:1, s. 185-2570010-36161432-0916
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