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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 theorem
Classification of Fatou components
Complex quadratic polynomial
Douady rabbit
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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 $\mathbb{C}^{2}$
Remus Radu
,
Raluca Tanase
2015
Corpus ID: 53974661
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…
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2012
2012
The asymptotic distribution of circles in the orbits of Kleinian groups
H. Oh
,
N. Shah
2012
Corpus ID: 115163894
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
L. Lomonaco
2011
Corpus ID: 118738673
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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2011
2011
THE ASYMPTOTIC DISTRIBUTION OF CIRCLES IN THE ORBITS OF KLEINIAN GROUPS
OH Hee
2011
Corpus ID: 4879452
Let P be a locally finite circle packing in the plane C invariant under a non-elementary Kleinian group Γ and with finitely many…
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2008
2008
Ergodic Theory of Parabolic Horseshoes
M. Urbanski
,
C. Wolf
2008
Corpus ID: 11712750
In this paper we develop the ergodic theory for a horseshoe map f which is uniformly hyperbolic, except at one parabolic fixed…
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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…
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Highly Cited
2006
Highly Cited
2006
The renormalization for parabolic fixed points and their perturbation
H. Inou
,
Mitsuhiro Shishikura
2006
Corpus ID: 160008772
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
Inmaculada Baldomá
,
E. Fontich
2004
Corpus ID: 18428911
Notation and main results Analytic properties of the homoclinic orbit of the unperturbed system Parameterization of local…
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1979
1979
On the isomorphism theorem for Kleinian groups
A. Marden
,
B. Maskit
1979
Corpus ID: 119535727
A sufficient condition on a geometrically finite Kleinian group G is shown, under which any type-preserving isomorphism from G…
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Highly Cited
1974
Highly Cited
1974
Limit points of Kleinian groups and finite sided fundamental polyhedra
A. Beardon
,
B. Maskit
1974
Corpus ID: 119554984
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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