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

B. S. Du*, S. R. Hsiau, Ming-Chia Li, M. Malkin

*Corresponding author for this work

Research output: Contribution to journalArticle

2 Scopus citations

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 languageEnglish
Pages (from-to)1369-1382
Number of pages14
JournalTaiwanese Journal of Mathematics
Volume11
Issue number5
DOIs
StatePublished - 1 Jan 2007

Keywords

  • Bifurcations
  • Discrete dynamical systems
  • Stability

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