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Complex multi-affine polynomials and invariant circles
Journal of Mathematical Analysis and Applications, 2023This is a very interesting paper that extends the researches of B. and H. Sendov and J. Xiao, on the loci of the zeros of polynomials [\textit{B. Sendov} and \textit{H. Sendov}, Trans. Am. Math. Soc. 366, No. 10, 5155--5184 (2014; Zbl 1298.30005); \textit{B. Sendov} and \textit{H. Sendov}, Math. Proc. Camb. Philos. Soc. 159, No.
Sendov, Hristo, Xiao, Junquan
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The main goal of this paper is to compute a class of polynomial vector fields, whose associated dynamical system has a given affine variety as attractive and invariant set, a given point in such an affine variety as invariant and attractive and another given affine variety as invariant set, solving the application of this technique in the robotic area.
Possieri, Corrado, Tornambè, Antonio
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