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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 9 > No. 5


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

PP: 2355-2360
José Ginés Espín Buendía, Víctor Jiménez López,
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.

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