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Bounds on the unstable eigenvalue for the asymmetric renormalization operator for period doubling

Mestel, B. D.; Osbaldestin, A. H. and Tsygvintsev, A. V. (2004). Bounds on the unstable eigenvalue for the asymmetric renormalization operator for period doubling. Communications in Mathematical Physics, 250(2) pp. 241–257.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1007/s00220-004-1143-2
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Abstract

We establish rigorous bounds for the unstable eigenvalue of the period-doubling renormalization operator for asymmetric unimodal maps. Herglotz-function techniques and cone invariance ideas are used. Our result generalizes an established result for conventional period doubling.

Item Type: Journal Article
Copyright Holders: 2004 Springer-Verlag
ISSN: 1432-0916
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetNot SetThe Leverhulme Trust (grant number F/00144/W)
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 9549
Depositing User: Benjamin Mestel
Date Deposited: 01 Oct 2007
Last Modified: 10 Aug 2011 15:36
URI: http://oro.open.ac.uk/id/eprint/9549
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