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

Ferreira, João Carlos da Motta, Marietto, Maria das Graças Bruno

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.

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