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

B. Mestel; Andrew Osbaldestin; A. Tsygvintsev

doi:10.1007/s00220-004-1143-2

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

B. Mestel, Andrew Osbaldestin, A. Tsygvintsev

School of Mathematics & Physics

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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.

Original language	English
Pages (from-to)	241-257
Number of pages	17
Journal	Communications in Mathematical Physics
Volume	250
Issue number	2
DOIs	https://doi.org/10.1007/s00220-004-1143-2
Publication status	Published - 2004

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title = "Bounds on the unstable eigenvalue for the asymmetric renormalization operator for period doubling",

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.",

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AU - Mestel, B.

AU - Osbaldestin, Andrew

AU - Tsygvintsev, A.

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Y1 - 2004

N2 - 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.

AB - 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.

U2 - 10.1007/s00220-004-1143-2

DO - 10.1007/s00220-004-1143-2

M3 - Article

SN - 0010-3616

VL - 250

SP - 241

EP - 257

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -

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

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