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arXiv 1701.04784math.NAcs.NAmath.DS
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A-稳定化与单位圆盘上复多项式的范围

A-stabilization and the ranges of complex polynomials on the unit disk

Alexey Solyanik

AI总结:

研究复动力系统不稳定环的稳定化问题,通过分析单位圆盘上多项式的范围确定A稳定化条件。

摘要:

一维复动力系统不稳定环的稳定化问题被简要讨论。这些问题转化为描述在单位圆盘上定义且归一化为q(1)=1的多项式q(z)=q₁z+q₂z²+…+qₙzⁿ的范围的问题,这是本文的主要研究内容。

英文摘要:

Problems of stabilization of the unstable cycle of one-dimensional complex dynamical system are briefly discussed. These questions reduced to the problem of description of the ranges of polynomials $q(z) = q_1z + q_2z^2 +\dots + q_nz^n$ defined in the unit disk and normalized by the conditions $q(1) = 1 $ and this is the main subject of the present paper.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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