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 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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An improved stability criterion with application to the Arneodo-Coullet-Tresser map. / Du, B. S.; Hsiau, S. R.; Li, M. C.; Malkin, M.
In: Taiwanese Journal of Mathematics, Vol. 11, No. 5, 01.01.2007, p. 1369-1382.Research output: Contribution to journal › Article
TY - JOUR
T1 - An improved stability criterion with application to the Arneodo-Coullet-Tresser map
AU - Du, B. S.
AU - Hsiau, S. R.
AU - Li, M. C.
AU - Malkin, M.
PY - 2007/1/1
Y1 - 2007/1/1
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=77952158620&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77952158620&partnerID=8YFLogxK
U2 - 10.11650/twjm/1500404870
DO - 10.11650/twjm/1500404870
M3 - Article
VL - 11
SP - 1369
EP - 1382
JO - Taiwanese Journal of Mathematics
JF - Taiwanese Journal of Mathematics
SN - 1027-5487
IS - 5
ER -