Dynamics of transcendental H��non maps-II

Autor: Arosio, Leandro, Benini, Anna Miriam, Forn��ss, John Erik, Peters, Han
Rok vydání: 2019
Předmět:
DOI: 10.48550/arxiv.1905.11557
Popis: Transcendental H��non maps are the natural extensions of the well investigated complex polynomial H��non maps to the much larger class of holomorphic automorphisms. We prove here that transcendental H��non maps always have non-trivial dynamical behavior, namely that they always admit both periodic and escaping orbits, and that their Julia sets are non-empty and perfect.
Databáze: OpenAIRE