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Zbl 1189.37059
Zheng, BaoDong; Liang, LiJie; Zhang, ChunRui
Extended Jury criterion. (English)
[J] Sci. China, Math. 53, No. 4, 1133-1150 (2010). ISSN 1674-7283; ISSN 1869-1862/e

Summary: Algebraic criteria are established to determine whether or not a real coefficient polynomial has one or two pairs of conjugate complex roots whose moduli are equal to 1 and the other roots have moduli less than 1 directly from its coefficients. The form and the function of the criteria are similar to those of the Jury criterion which can be used to determine whether or not all the moduli of the roots of a real coefficient polynomial are less than 1.

MSC 2000:: *37G15 Bifurcations of limit cycles and periodic orbits
12Y05 Computational aspects of field theory and polynomials

Keywords: dynamic system; Jury criterion; conjugate complex roots

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Zentralblatt MATH Berlin [Germany]