ALTERNATED JULIA SETS AND CONNECTIVITY PROPERTIES-Reference-Cited by-同舟云学术

ALTERNATED JULIA SETS AND CONNECTIVITY PROPERTIES

Published:2009-06 Issue:06 Volume:19 Page:2123-2129
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

DANCA MARIUS-F.¹²,ROMERA M.³,PASTOR G.³

Affiliation:

1. Department of Mathematics and Computer Science, Avram Iancu University, 1A Ilie Măcelaru, 400380 Cluj-Napoca, Romania

2. Center for Cognitive and Neural Studies (Coneural), 29 Cireşilor, 400487 Cluj-Napoca, Romania

3. Instituto de Física Aplicada, CSIC, Consejo Superior de Investigaciones Científicas, Serrano 144, 28006 Madrid, Spain

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127409023962

Reference15 articles.

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4. Complex dynamics and symbolic dynamics

5. The iteration of cubic polynomials Part I: The global topology of parameter space

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