An improved stability criterion with application to the Arneodo-Coullet-Tresser map

B. S. Du; S. R. Hsiau; M. C. Li; M. Malkin

doi:10.11650/twjm/1500404870

An improved stability criterion with application to the Arneodo-Coullet-Tresser map

B. S. Du, S. R. Hsiau, M. C. Li, M. Malkin

Department of Mathematics

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

2 Citations (Scopus)

Abstract

We give a criterion of discrete stability for polynomials of degree n ≤ 4 in terms of polynomial inequalities which contain linear inequalities and only one inequality of degree n-1. The result then applies to study stability regions for fixed points of the Arneodo-Coullet-Tresser maps.

Original language	English
Pages (from-to)	1369-1382
Number of pages	14
Journal	Taiwanese Journal of Mathematics
Volume	11
Issue number	5
DOIs	https://doi.org/10.11650/twjm/1500404870
Publication status	Published - 2007 Dec

All Science Journal Classification (ASJC) codes

Mathematics(all)

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title = "An improved stability criterion with application to the Arneodo-Coullet-Tresser map",

abstract = "We give a criterion of discrete stability for polynomials of degree n ≤ 4 in terms of polynomial inequalities which contain linear inequalities and only one inequality of degree n-1. The result then applies to study stability regions for fixed points of the Arneodo-Coullet-Tresser maps.",

author = "Du, {B. S.} and Hsiau, {S. R.} and Li, {M. C.} and M. Malkin",

year = "2007",

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AU - Li, M. C.

AU - Malkin, M.

PY - 2007/12

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AB - We give a criterion of discrete stability for polynomials of degree n ≤ 4 in terms of polynomial inequalities which contain linear inequalities and only one inequality of degree n-1. The result then applies to study stability regions for fixed points of the Arneodo-Coullet-Tresser maps.

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