Simple Mandelpinski Necklaces for $$z^2 + \lambda /z^2$$ z 2 + λ / z 2

DOI10.1007/978-3-662-52927-0_5zbMath1356.37064OpenAlexW2534446879MaRDI QIDQ2954203

Robert L. Devaney, Daniel Cuzzocreo

Publication date: 12 January 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-662-52927-0_5

zbMATH Keywords

Julia setcomplex dynamicsMandelbrot setrational mapMandelpinski necklaceSierpinski hole

Mathematics Subject Classification ID

Related Items (4)

RINGS AROUND SIERPINSKI HOLES ⋮ Mandelpinski structures in the parameter planes of rational maps ⋮ Mandelpinski necklaces in the parameter planes of rational maps ⋮ Singular perturbations of complex polynomials

Cites Work

• The escape trichotomy for singularly perturbed rational maps
• The McMullen domain: Rings around the boundary
• Julia sets converging to the unit disk
• The McMullen domain: Satellite Mandelbrot sets and Sierpinski holes
• Structure of the McMullen domain in the parameter planes for rational maps
• Sierpinski-curve Julia sets and singular perturbations of complex polynomials
• Dynamics in One Complex Variable. (AM-160)
• Unnamed Item

This page was built for publication: Simple Mandelpinski Necklaces for $$z^2 + \lambda /z^2$$ z 2 + λ / z 2