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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… 
Wikipedia

Related topics

Related topics

18 relations
Abel–Ruffini theoremClassification of Fatou componentsComplex quadratic polynomialDouady rabbit
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Broader (1)

Complex dynamics

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2013
2013
Bulbs of Period Two in the Family of Chebyshev-Halley Iterative Methods on Quadratic Polynomials
The parameter space associated to the parametric family of Chebyshev-Halley on quadratic polynomials shows a dynamical richness… 
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2013
2013
Limits of Degenerate Parabolic Quadratic Rational Maps
We investigate the closure in moduli space of the set of quadratic rational maps which possess a degenerate parabolic fixed point… 
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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… 
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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… 
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2009
2009
Multifractal analysis of the Lyapunov exponent for the backward continued fraction map
  • G. Iommi
  • Ergodic Theory and Dynamical Systems
  • 2009
  • Corpus ID: 8600242
Abstract In this paper we study the multifractal spectrum of Lyapunov exponents for interval maps with infinitely many branches… 
2006
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… 
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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… 
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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… 
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2003
2003
Normal forms, bifurcations and finiteness properties of vector fields∗
This article will be published in the Proceedings of the Seminaire de mathematiques superieures 2002 on the theme “Normal forms… 
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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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