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

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

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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 languageEnglish
Pages (from-to)1369-1382
Number of pages14
JournalTaiwanese Journal of Mathematics
Issue number5
Publication statusPublished - 2007 Dec


All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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