Filled Julia set of some class of Hénon-like maps
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Data
2020-01-02
Autores
Antonio Caprio, Danilo [UNESP]
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Resumo
In this work we consider a class of endomorphisms of R2 defined by f (x, y) = (xy + c, x), where c ∈ R is a real number and we prove that when −1 < c < 0, the forward filled Julia set of f is the union of stable manifolds of fixed and 3− periodic points of f. We also prove that the backward filled Julia set of f is the union of unstable manifolds of the saddle fixed and 3− periodic points of f.
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filled Julia sets, Holomorphic dynamics, stable manifolds
Como citar
Dynamical Systems, v. 35, n. 1, p. 156-183, 2020.