Abstract:- We present a method to build fractal structures, which is based on the use of periodic domains. In previous works we used binary (or digital) periodic functions as components, which permit us to obtain Cantor, Sierpinski and Koch fractals through a product superposition. In this paper, an extension of these results, for the case of continuous (or analog) periodic components, is obtained and exemplified with cosenoidal functions. Key-Words:- Numerical methods, fractal sets, periodic domains, iterative functions systems, dynamical systems, digital and analog signals
Fractal Riemann surfaces are generated as iterators of branched covers (complex multi-valued functio...
The aim of this book is to show some applications of fractal analysis in the fields of sciences. The...
In this paper, we have developed a method to compute fractal dimension (FD) of discrete time signals...
Fractal structures containing relief surfaces have applications in a variety of fields, including co...
The construction methods analysis of known geometric fractals allows us to reveal algebraic features...
We present a survey of the recent applications of continuous domains for providing simple computatio...
The goal of this work is to construct and use continuous fractal functions to find a numerical solut...
Topological behaviour of self-similar spectra for fractal domains is shown. Two different mathematic...
AbstractA methodology based on fractal interpolation functions is used in this work to define new re...
A fractal is a mathematical object, that can be split into several parts, each of which is a minuscu...
This paper explores methods of generating fractals from the mapping z®z -n +c and discusses the st...
International audienceVery few characteristic functions, or equations, are reported so far for fract...
The behaviour and properties of one-dimensional discrete mappings are explored by writing Matlab cod...
A method to construct fractal surfaces by recurrent fractal curves is provided. First we construct f...
A new method of fractals construction based on Fatou-Julia iteration is proposed. We develop a non-o...
Fractal Riemann surfaces are generated as iterators of branched covers (complex multi-valued functio...
The aim of this book is to show some applications of fractal analysis in the fields of sciences. The...
In this paper, we have developed a method to compute fractal dimension (FD) of discrete time signals...
Fractal structures containing relief surfaces have applications in a variety of fields, including co...
The construction methods analysis of known geometric fractals allows us to reveal algebraic features...
We present a survey of the recent applications of continuous domains for providing simple computatio...
The goal of this work is to construct and use continuous fractal functions to find a numerical solut...
Topological behaviour of self-similar spectra for fractal domains is shown. Two different mathematic...
AbstractA methodology based on fractal interpolation functions is used in this work to define new re...
A fractal is a mathematical object, that can be split into several parts, each of which is a minuscu...
This paper explores methods of generating fractals from the mapping z®z -n +c and discusses the st...
International audienceVery few characteristic functions, or equations, are reported so far for fract...
The behaviour and properties of one-dimensional discrete mappings are explored by writing Matlab cod...
A method to construct fractal surfaces by recurrent fractal curves is provided. First we construct f...
A new method of fractals construction based on Fatou-Julia iteration is proposed. We develop a non-o...
Fractal Riemann surfaces are generated as iterators of branched covers (complex multi-valued functio...
The aim of this book is to show some applications of fractal analysis in the fields of sciences. The...
In this paper, we have developed a method to compute fractal dimension (FD) of discrete time signals...