Extended Jury criterion. (English) Zbl 1189.37059

Zheng, BaoDong; Liang, LiJie; Zhang, ChunRui

Sci. China, Math. 53, No. 4, 1133-1150 (2010).

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:

37G15	Bifurcations of limit cycles and periodic orbits in dynamical systems
12Y05	Computational aspects of field theory and polynomials (MSC2010)

Keywords:

dynamic system; Jury criterion; conjugate complex roots

References:

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