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/doi: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
Funders:	The 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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