Feigenbaum theory for unimodal maps with asymmetric critical point

B. D. Mestel; A. H. Osbaldestin

doi:10.1088/0305-4470/31/14/014

Feigenbaum theory for unimodal maps with asymmetric critical point

B. D. Mestel^*, A. H. Osbaldestin

^*Corresponding author for this work

School of Mathematics & Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We extend the renormalization analysis for period doubling in unimodal maps to the case of asymmetric critical points. Universal scaling phenomena are governed by period-two points of a renormalization operator.

Original language	English
Pages (from-to)	3287-3296
Number of pages	10
Journal	Journal of Physics A: Mathematical and General
Volume	31
Issue number	14
DOIs	https://doi.org/10.1088/0305-4470/31/14/014
Publication status	Published - 10 Apr 1998

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title = "Feigenbaum theory for unimodal maps with asymmetric critical point",

abstract = "We extend the renormalization analysis for period doubling in unimodal maps to the case of asymmetric critical points. Universal scaling phenomena are governed by period-two points of a renormalization operator.",

author = "Mestel, \{B. D.\} and Osbaldestin, \{A. H.\}",

year = "1998",

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doi = "10.1088/0305-4470/31/14/014",

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AU - Mestel, B. D.

AU - Osbaldestin, A. H.

PY - 1998/4/10

Y1 - 1998/4/10

N2 - We extend the renormalization analysis for period doubling in unimodal maps to the case of asymmetric critical points. Universal scaling phenomena are governed by period-two points of a renormalization operator.

AB - We extend the renormalization analysis for period doubling in unimodal maps to the case of asymmetric critical points. Universal scaling phenomena are governed by period-two points of a renormalization operator.

UR - https://www.scopus.com/pages/publications/0032502511

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DO - 10.1088/0305-4470/31/14/014

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AN - SCOPUS:0032502511

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VL - 31

SP - 3287

EP - 3296

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 14

ER -

Feigenbaum theory for unimodal maps with asymmetric critical point

Abstract

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