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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.
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… 
2012
2012
The asymptotic distribution of circles in the orbits of Kleinian groups
Let $\mathcal{P}$ be a locally finite circle packing in the plane ℂ invariant under a non-elementary Kleinian group Γ and with… 
2011
2011
Parabolic-like maps
In this paper we introduce the notion of parabolic-like mapping, which is an object similar to a polynomial-like mapping, but… 
2011
2011
THE ASYMPTOTIC DISTRIBUTION OF CIRCLES IN THE ORBITS OF KLEINIAN GROUPS
Let P be a locally finite circle packing in the plane C invariant under a non-elementary Kleinian group Γ and with finitely many… 
2008
2008
Ergodic Theory of Parabolic Horseshoes
In this paper we develop the ergodic theory for a horseshoe map f which is uniformly hyperbolic, except at one parabolic fixed… 
2008
2008
Multifractal analysis of the Lyapunov exponent for the backward continued fraction map
  • G. Iommi
  • Ergodic Theory and Dynamical Systems
  • 2008
  • Corpus ID: 8600242
Abstract In this paper we study the multifractal spectrum of Lyapunov exponents for interval maps with infinitely many branches… 
Highly Cited
2006
Highly Cited
2006
The renormalization for parabolic fixed points and their perturbation
For holomorphic maps of one variable with a parabolic fixed point, the parabolic renormalization R0 is defined in terms of Fatou… 
2004
2004
Exponentially Small Splitting of Invariant Manifolds of Parabolic Points
Notation and main results Analytic properties of the homoclinic orbit of the unperturbed system Parameterization of local… 
1979
1979
On the isomorphism theorem for Kleinian groups
A sufficient condition on a geometrically finite Kleinian group G is shown, under which any type-preserving isomorphism from G… 
Highly Cited
1974
Highly Cited
1974
Limit points of Kleinian groups and finite sided fundamental polyhedra
Let G be a discrete subgroup of SL(2, C)/{• 1}. Then G operates as a discontinuous group of isometrics on hyperbolic 3-space… 
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