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… (More)
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Complex dynamics

Papers overview

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2013
2013
Bulbs of Period Two in the Family of Chebyshev-Halley Iterative Methods on Quadratic Polynomials
and Applied Analysis 3 Figure 1: Parameter plane. Let us stress that the head and the body are surrounded by bulbs, of different… (More)
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2013
2013
On stochastic stability of expanding circle maps with neutral fixed points
It is well-known that the Manneville-Pomeau map with a parabolic fixed point of the form x 7→ x + x mod 1 is stochastically… (More)
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2012
2012
The asymptotic distribution of circles in the orbits of Kleinian groups
Let P be a locally finite circle packing in the plane invariant under a non-elementary Kleinian group Gamma and with finitely… (More)
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2010
2010
Multifractal analysis of the Lyapunov exponent for the backward continued fraction map
In this note we study the multifractal spectrum of Lyapunov exponents for interval maps with infinitely many branches and a… (More)
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2010
2010
Cubic polynomials with a parabolic point
We consider the family of cubic polynomials with a simple parabolic fixed point. We prove that the boundary of the immediate… (More)
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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… (More)
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2004
2004
Exponentially small splitting of invariant manifolds of parabolic points
We consider families of one and a half degrees of freedom Hamiltonians with high frequency periodic dependence on time, which are… (More)
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2003
2003
Forwards and pullback behaviour of a non-autonomous Lotka–Volterra system
Lotka-Volterra systems have been extensively studied by many authors, both in the autonomous and non-autonomous cases. In… (More)
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1999
1999
Connectedness properties of limit sets
We study convergence group actions on continua, and give a criterion which ensures that every global cut point is a parabolic… (More)
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1974
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… (More)
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