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Periodic points of complex quadratic mappings

Known as: Periodic Points Julia Set 
This article describes periodic points of some complex quadratic maps. A map is a formula for computing a value of a variable based on its own… 
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Related topics

Related topics

18 relations
Abel–Ruffini theoremClassification of Fatou componentsComplex quadratic polynomialDouady rabbit

Broader (1)

Complex dynamics

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2019
2019
Dynamics on immediate basins for parabolic Newton maps
Dynamics on parabolic immediate basins for rational Newton maps of entire functions have been studied. It is proved that every… 
2015
2015
Semi-parabolic tools for hyperbolic H\'enon maps and continuity of Julia sets in $\mathbb{C}^{2}$
We prove some new continuity results for the Julia sets $J$ and $J^{+}$ of the complex H\'enon map $H_{c,a}(x,y)=(x^{2}+c+ay, ax… 
2013
2013
On the Resurgent Approach Tó Ecalle-voronin's Invariants
Given a holomorphic germ at the origin of C with a simple parabolic fixed point, the Fatou coordinates have a common asymptotic… 
2009
2009
The existence of Morse-Smale diffeomorphisms in the family of Hénon maps
Thesis (M.S.)--Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics and Statistics 
2006
2006
Renormalization for Near-Parabolic Fixed Points of Holomorphic Maps(Applications of Renormalization Group Methods in Mathematical Sciences)
Consider a fixed point $z_{0}$ of a holomorphic function $f(z)$ . We say $z_{0}$ is parabolic if its multiplier A $=f’(z_{0})$ is… 
2005
2005
SEMI-CONTINUITY OF SIEGEL DISKS UNDER PARABOLIC
  • 2005
  • Corpus ID: 13589480
We transfer the lower semi-continuity of Siegel disks with fixed Brjuno type rotation numbers to geometric limits. Here, we… 
2004
2004
Finiteness of the Area of Basins of Attraction of Relaxed Newton Method for Certain Holomorphic Functions
For a nonconstant function F and a real number h∈]0, 1] the relaxed Newton's method NF,h of F is an iterative algorithm for… 
2002
2002
PARABOLIC PERTURBATION IN THE FAMILY z 7! 1 + 1=wz d
Consider the family of rational maps Fd = fz 7! fw(z) = 1 + 1 wz d : w 2 Cnf0gg (d 2 N;d ‚ 2);and the hyperbolic component A1… 
1998
1998
On the dynamics of some diffeomorphisms of ℂ2 near parabolic fixed points
In this paper we consider diffeomorphisms of C? of the special form F(z, W) = (w, --z + ~G(w)). For such maps the origin is a… 
1994
1994
STABILITY OF A PARABOLIC FIXED POINT OF REVERSIBLE MAPPINGS
  • B. Liu
  • 1994
  • Corpus ID: 124934099
KAM theorem of reversible system is used to provide a sufficient condition which guarantees the stability of a parabolic fixed… 
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