Sierpiński curve

Known as: Sierpinski curve 
Sierpiński curves are a recursively defined sequence of continuous closed plane fractal curves discovered by Wacław Sierpiński, which in the limit… (More)
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Papers overview

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2010
2010
We consider the family of transcendental entire maps given by fa(z) = a(z−(1−a)) exp(z+a) where a is a complex parameter. Every… (More)
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2009
2009
For n ≥ 2, the family of rational maps Fλ(z) = z + λ/z contains a countably infinite set of parameter values for which all… (More)
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2008
2008
We discuss the dynamics as well as the structure of the parameter plane of certain families of rational maps with few critical… (More)
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2007
2007
A RFID tag antenna with Sierpinski curve was designed.Firstly the relation between the resonance,return loss,vswr,gain and the… (More)
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2005
2005
In this paper we prove the existence of a new type of Sierpinski curve Julia set for certain families of rational maps of the… (More)
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2005
2005
In this paper we consider the family of rational maps of the complex plane given by z 2 + λ z 2 where λ is a complex parameter… (More)
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2005
2005
In this paper we investigate the dynamics of certain rational functions on their Julia sets. We pay particular attention to the… (More)
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2004
2004
AbstractIn this paper we consider families of rational maps of degree 2n on the Riemann sphereFλ: $$F_\lambda :\bar {\mathbb{C… (More)
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1999
1999
Abstract This paper answers positively the open question of whether or not the Sierpinski curve is homogeneous with respect to… (More)
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1994
1994
The Sierpinski curve X admits a homeomorphism with a dense orbit. However, X is not minimal and does not admit an expansive homeo… (More)
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