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Renormalizable Hénon-like maps and unbounded geometry
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Hazard, P. E., Lyubich, M and Martens, M (2012) Renormalizable Hénon-like maps and unbounded geometry. Nonlinearity, Vol.25 (No.2). pp. 397-420. doi:10.1088/0951-7715/25/2/397 ISSN 0951-7715.
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Official URL: http://dx.doi.org/10.1088/0951-7715/25/2/397
Abstract
We show that given a one-parameter family F-b of strongly dissipative infinitely renormalizable Henon-like maps, parametrized by a quantity called the 'average Jacobian' b, the set of all parameters b such that F-b has a Cantor set with unbounded geometry has full Lebesgue measure.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Nonlinearity | ||||
Publisher: | Institute of Physics Publishing Ltd. | ||||
ISSN: | 0951-7715 | ||||
Official Date: | February 2012 | ||||
Dates: |
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Volume: | Vol.25 | ||||
Number: | No.2 | ||||
Page Range: | pp. 397-420 | ||||
DOI: | 10.1088/0951-7715/25/2/397 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | FAPESP | ||||
Grant number: | 2008/10659-1 |
Data sourced from Thomson Reuters' Web of Knowledge
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