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 | |
| Publication status | Published - 2007 Dec |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
Cite this
Du, B. S., Hsiau, S. R., Li, M. C., & Malkin, M. (2007). An improved stability criterion with application to the Arneodo-Coullet-Tresser map. Taiwanese Journal of Mathematics, 11(5), 1369-1382. https://doi.org/10.11650/twjm/1500404870