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arXiv · 2009.05178

Filled Julia and Mandelbrot Sets for Dynamics over the Normed Real Nonassociative Algebras

João Carlos da Motta Ferreira·Maria das Graças Bruno Marietto
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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.

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João Carlos da Motta Ferreira, Maria das Graças Bruno Marietto. 2020-09-11. Filled Julia and Mandelbrot Sets for Dynamics over the Normed Real Nonassociative Algebras. https://arxiv.org/abs/2009.05178

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