The Dynamics of the Sierpinski Curve

1994 ◽  
Vol 120 (3) ◽  
pp. 965
Author(s):  
Jan M. Aarts ◽  
Lex G. Oversteegen
Keyword(s):  
Sierpiński Curve ◽  
Sierpinski Curve

scholarly journals The dynamics of the Sierpiński curve

1994 ◽  
Vol 120 (3) ◽  
pp. 965-965
Author(s):  
Jan M. Aarts ◽  
Lex G. Oversteegen
Keyword(s):  
Sierpiński Curve ◽  
Sierpinski Curve

scholarly journals Non-landing hairs in Sierpiński curve Julia sets of transcendental entire maps

2011 ◽  
Vol 214 (2) ◽  
pp. 135-160 ◽  
Author(s):  
Antonio Garijo ◽  
Xavier Jarque ◽  
Mónica Moreno Rocha
Keyword(s):  
Julia Sets ◽  
Sierpiński Curve ◽  
Sierpinski Curve

scholarly journals Microstrip Patch Strain Sensor Miniaturization Using Sierpinski Curve Fractal Geometry

Sensors ◽  
2019 ◽  
Vol 19 (18) ◽  
pp. 3989 ◽  
Author(s):  
Michal Herbko ◽  
Przemyslaw Lopato
Keyword(s):  
Resonant Frequency ◽  
Fractal Geometry ◽  
Strain Sensor ◽  
Frequency Shifts ◽  
Good Convergence ◽  
Microstrip Patch ◽  
Resonant Frequency Shift ◽  
Sierpiński Curve ◽  
Sierpinski Curve ◽  
Curve Geometry

In this paper miniaturization of a microstrip patch strain sensor (MPSS) using fractal geometry was proposed and analyzed. For this purpose, the transducer of Sierpinski curve geometry was utilized and compared with the most commonly utilized rectangular resonator-based one. Both sensors were designed for the same resonant frequency value (2.725 GHz). This fact allows analysis of the influence of the patch (resonator) shape and size on the resonant frequency shift. This is very important as the sensors with the same resonator shape but designed on various operating frequencies have various resonant frequency shifts. Simulation and experimental analysis for all sensors were carried out. A good convergence between results of simulation and measurements was achieved. The obtained results proved the possibility of microstrip strain sensor dimensions reduction using Sierpinski curve fractal geometry. Additionally, an influence of microstrip line deformation for proposed sensors was studied.

Sierpiński Curve Julia Sets of Rational Maps

2006 ◽  
Vol 6 (2) ◽  
pp. 317-327 ◽  
Author(s):  
Norbert Steinmetz
Keyword(s):  
Julia Sets ◽  
Rational Maps ◽  
Sierpiński Curve ◽  
Sierpinski Curve

Sierpinski-curve Julia sets and singular perturbations of complex polynomials

2005 ◽  
Vol 25 (4) ◽  
pp. 1047-1055 ◽  
Author(s):  
PAUL BLANCHARD ◽  
ROBERT L. DEVANEY ◽  
DANIEL M. LOOK ◽  
PRADIPTA SEAL ◽  
YAKOV SHAPIRO
Keyword(s):  
Singular Perturbations ◽  
Julia Sets ◽  
Complex Polynomials ◽  
Sierpiński Curve ◽  
Sierpinski Curve

Homeomorphisms of the Sierpinski curve with periodic properties

2013 ◽  
Vol 28 (2) ◽  
pp. 203-213
Author(s):  
Abdelrazak Jmel ◽  
Ezzeddine Salhi ◽  
Gioia Vago
Keyword(s):  
Sierpiński Curve ◽  
Sierpinski Curve
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