Cantor necklaces and structurally unstable Sierpinski curve Julia sets for rational maps-Reference-Cited by-同舟云学术

Cantor necklaces and structurally unstable Sierpinski curve Julia sets for rational maps

Published:2004-09 Issue:2 Volume:5 Page:337-359
ISSN:1575-5460
Container-title:Qualitative Theory of Dynamical Systems
language:en
Short-container-title:Qual. Th. Dyn. Syst

Author:

Devaney Robert L.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Link

http://link.springer.com/content/pdf/10.1007/BF02972685.pdf

Reference14 articles.

1. Blanchard, P., Devaney, R. L., Look, D. M., Seal, P., andShapiro, Y..Sierpinski Curve Julia Sets and Singular Perturbations of Complex Polynomials. Ergodic Theory and Dynamical Systems.25 (2005), 1047–1055.

2. Devaney, R. L., Look, D. M., and Uminsky, D. The Escape Trichotomy for Singularly Perturbed Rational Maps. To appear in Indiana University Math. J.

3. Devaney, R. L. and Look, D. M. A Criterion for Sierpinski Curve Julia Sets. To appear in Topology Proceedings.

4. Devaney, R. L., andLook, D. M. Symbolic Dynamics for a Sierpinski Curve Julia Set. Journal of Difference Equations and Applications11 (2005), 581–596.

5. Devaney, R. L. andLook, D. M. Buried Sierpinski Curve Julia Sets. Discrete and Continuous Dynamical Systems13 (2005), 1035–1046.

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. GENERALIZED RINGS AROUND SIERPIŃSKI HOLES;Fractals;2024-01

2. Escape components of McMullen maps;Ergodic Theory and Dynamical Systems;2022-11-28

3. A Mandelpinski maze for rational maps of the form zn+λ/zd;Indagationes Mathematicae;2016-12

4. Mandelpinski spokes in the parameter planes of rational maps;Journal of Difference Equations and Applications;2015-10-13

5. Accessible Mandelbrot Sets in the Family $$ z^n + \lambda /z^n$$ z n + λ / z n;Qualitative Theory of Dynamical Systems;2015-04-17