八元数多项式的根与动力学
Roots and Dynamics of Octonion Polynomials
AI总结：
本文研究八元数多项式的根与动力学，确定了右标量倍数的根并讨论左倍数，将首一二次实八元数多项式的不动点分类为吸引、排斥和两可，并探讨伪周期点行为。
摘要：
本文致力于研究（标准）八元数多项式的若干新结果。首先，确定了所有八元数多项式的右标量倍数的根。同时讨论了左倍数的根，特别是在特征不为2的域上。随后，我们转而研究首一二次实八元数多项式的动力学，将其不动点分类为吸引、排斥和两可三类，并最后讨论了伪周期点的行为。
英文摘要：
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.
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。
