Abstract
We give a criterion of discrete stability for polynomials of degree $n \leq 4$ 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.
Citation
B.-S. Du. S.-R. Hsiau. M.-C. Li. M. Malkin. "AN IMPROVED STABILITY CRITERION WITH APPLICATION TO THE ARNEODO-COULLET-TRESSER MAP." Taiwanese J. Math. 11 (5) 1369 - 1382, 2007. https://doi.org/10.11650/twjm/1500404870
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