Filled Julia and Mandelbrot Sets for Dynamics over the Normed Real Nonassociative Algebras
arXiv:2009.05178
Abstract
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.