# 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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## Papers overview

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2015
2015
• 2015
• Corpus ID: 53974661
We prove some new continuity results for the Julia sets $J$ and $J^{+}$ of the complex H\'enon map $H_{c,a}(x,y)=(x^{2}+c+ay, ax… 2012 2012 • 2012 • Corpus ID: 115163894 Let$\mathcal{P}\$ be a locally finite circle packing in the plane ℂ invariant under a non-elementary Kleinian group Γ and with…
2011
2011
In this paper we introduce the notion of parabolic-like mapping, which is an object similar to a polynomial-like mapping, but…
2011
2011
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
• 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…
2008
2008
• 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
• 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…
2004
2004
• 2004
• Corpus ID: 18428911
Notation and main results Analytic properties of the homoclinic orbit of the unperturbed system Parameterization of local…
1979
1979
• 1979
• Corpus ID: 119535727
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
• 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…