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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AU - Osbaldestin, A. H.

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Feigenbaum theory for unimodal maps with asymmetric critical point

Abstract

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