ALTERNATED JULIA SETS AND CONNECTIVITY PROPERTIES

Autor:	Miguel Romera, Gerardo Pastor, Marius-F. Danca
Rok vydání:	2009
Předmět:	Filled Julia set Combinatorics Discrete mathematics Mathematics::Dynamical Systems Quadratic equation Degree (graph theory) Mathematics::Complex Variables Applied Mathematics Modeling and Simulation Totally disconnected space Engineering (miscellaneous) Julia set Mathematics
Zdroj:	International Journal of Bifurcation and Chaos. 19:2123-2129
ISSN:	1793-6551 0218-1274
DOI:	10.1142/s0218127409023962
Popis:	In this work we present the alternated Julia sets, obtained by alternated iteration of two maps of the quadratic family [Formula: see text] and prove analytically and computationally that these sets can be connected, disconnected or totally disconnected verifying the known Fatou–Julia theorem in the case of polynomials of degree greater than two. Some examples are presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b597a1c8d19efc1dbc7fef65ebf2a455 https://doi.org/10.1142/s0218127409023962 Zobrazit plný text záznamu