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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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Papers overview

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2013
2013
• 2013
• Corpus ID: 7060307
The parameter space associated to the parametric family of Chebyshev-Halley on quadratic polynomials shows a dynamical richness…
2013
2013
• 2013
• Corpus ID: 49103770
We investigate the closure in moduli space of the set of quadratic rational maps which possess a degenerate parabolic fixed point…
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…
2009
2009
• 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
• 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…
2004
2004
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…
2003
2003
This article will be published in the Proceedings of the Seminaire de mathematiques superieures 2002 on the theme “Normal forms…
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…