论文标题
填充的Julia和Mandelbrot集,用于在规范的实际非社交代数上进行动态
Filled Julia and Mandelbrot Sets for Dynamics over the Normed Real Nonassociative Algebras
论文作者
论文摘要
在本文中,我们介绍了在规范的实际非社交代数的类别上的动态系统的概念,不一定是有限尺寸,将经典填充的Julia和Mandelbrot设置概述在复数上,研究其轨道并进行拓扑分析。获得了获得的结果的应用。
In this paper we introduce the notion of dynamical systems over the class of the normed real nonassociative algebras not necessarily finite-dimensional, generalize the classical filled Julia and Mandelbrot sets over the complex numbers, investigate their orbits and make a topological analysis. Applications of the obtained results are made.