八元多项式的根与动力学

Q3 Mathematics

Communications in Mathematics Pub Date : 2021-08-02 DOI:10.46298/cm.9042

Adam Chapman, S. Vishkautsan

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引用次数: 1

摘要

本文讨论了有关(标准)八元多项式的几个新结果。第一个是确定所有八元多项式的标量倍数的根。还讨论了左倍数的根，特别是在特征为非2的域上。然后，我们研究了一元二次实八元多项式的动力学，将不动点分为吸引点、排斥点和矛盾点，最后讨论了伪周期点的行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Roots and Dynamics of Octonion Polynomials

This paper is devoted to several new results concerning (standard) octonion polynomials. The first is the determination of the roots of all right scalar multiples of octonion polynomials. The roots of left multiples are also discussed, especially over fields of characteristic not 2. We then turn to study the dynamics of monic quadratic real octonion polynomials, classifying the fixed points into attracting, repelling and ambivalent, and concluding with a discussion on the behavior of pseudo-periodic points.

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来源期刊

Communications in Mathematics Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

45 weeks

期刊介绍： Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.