onr:"swepub:oai:DiVA.org:kth-140371"
Search: onr:"swepub:oai:DiVA.org:kth-140371" > On the Hyperbolicit...
- 1 of 1
- Previous record
- Next record
- To hitlist
- Martens, Marco (author)
On the Hyperbolicity of Lorenz Renormalization
- Article/chapterEnglish2014
Publisher, publication year, extent ...
- 2013-12-05
- Springer Science and Business Media LLC,2014
- printrdacarrier
Numbers
- LIBRIS-ID:oai:DiVA.org:kth-140371
- https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-140371URI
- https://doi.org/10.1007/s00220-013-1858-zDOI
Supplementary language notes
- Language:English
- Summary in:English
Part of subdatabase
- SwePubSwePub
Classification
Notes
- QC 20140123
- 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.
Subject headings and genre
- NATURVETENSKAP Fysik hsv//swe
- NATURAL SCIENCES Physical Sciences hsv//eng
- NATURVETENSKAP Matematik hsv//swe
- NATURAL SCIENCES Mathematics hsv//eng
- Cantor Sets
- Maps
- Universality
- Attractor
- Points
- Onset
Added entries (persons, corporate bodies, meetings, titles ...)
- Winckler, BjörnKTH,Matematik (Inst.)(Swepub:kth)u1a91i70 (author)
- KTHMatematik (Inst.) (creator_code:org_t)
Related titles
- In:Communications in Mathematical Physics: Springer Science and Business Media LLC325:1, s. 185-2570010-36161432-0916
Internet link
Find in a library
- Communications in Mathematical Physics (Search for host publication in LIBRIS)
To the university's database
- 1 of 1
- Previous record
- Next record
- To hitlist
Find more in SwePub
- By the author/editor
- Martens, Marco
- Winckler, Björn
- About the subject
-
- NATURAL SCIENCES
- NATURAL SCIENCES
- and Physical Science ...
-
- NATURAL SCIENCES
- NATURAL SCIENCES
- and Mathematics
- Articles in the publication
- Communications i ...
- By the university
- Royal Institute of Technology
Search outside SwePub
- Extend your search to:
- Google Book Search
- Google Scholar
Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.
- Copyright © LIBRIS - National Library Systems
- LIBRIS.kb.se
