Analytic Plane Sets are Locally 2n-stars: A dynamically based Proof

Authors

José Ginés Esp?n Buend?a, Departamento de Matem´aticas, Universidad de Murcia, Campus de Espinardo, 30100 Murcia, SpainFollow
V?ctor Jiménez L?pez, Departamento de Matem´aticas, Universidad de Murcia, Campus de Espinardo, 30100 Murcia, SpainFollow

Author Country (or Countries)

Spain

Abstract

A new, elementary proof of a well-known result, stating that the set of zeros of a two-variable analytic real function is locally a star with an even number of branches, is given. In contrast to other proofs available in the literature, ours is mainly based in some standard Poincar´e-Bendixson theory.

Recommended Citation

Ginés Esp?n Buend?a, José and Jiménez L?pez, V?ctor (2023) "Analytic Plane Sets are Locally 2n-stars: A dynamically based Proof," Applied Mathematics & Information Sciences: Vol. 09: Iss. 5, Article 17.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss5/17