Holomorphic, non-invertible dynamical systems of the Riemann sphere are surprisingly intricate and beautiful. Often the indecomposable, completely invariant sets are fractals (a la Mandelbrot [M1]) because, in fact, they are quasi-self-similar (see Sullivan [S3] and (8.5)). Sometimes they are nowhere differentiable Jordan curves whose Hausdorff dimension is greater than one (Sullivan [S4] and Ruelle [R]). Yet these sets are determined by a single analytic function zn+1 = R(zn)
Assimilating the complex with a fractal, non - differentiable behaviors in their dynamics are analyz...
The quadratic Mandelbrot set has been referred to as the most complex and beautiful object in mathem...
The authors have already established a bi univocal correspondence between Riemann zeta functions and...
Recently, there has been a great interest in understanding the mathematics behind fractal sets such ...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
We provide an example of how the complex dynamics of a recently introduced model can be understood v...
Rational maps are self-maps of the Riemann sphere of the form z → p(z)/q(z) where p(z) and q(z) are ...
In this thesis we treat the dynamics of chaotic systems and fractals. Chaotic systems are definedas ...
Abstract: The quadratic Mandelbrot set has been referred to as the most complex and beautiful object...
Estudaremos sistemas dinâmicos complexos da esfera de Riemann, e empregaremos técnicas do Formalismo...
The authors show the existence a bi univocal application between Riemann zeta functions and dynamic ...
We investigate the dynamics defined by the following set of three coupled first-order ODEs: (z) over...
Complex dynamics in a single variable is a well-studied field pioneered by Gaston Julia and Pierre F...
Assimilating a complex fluid with a fractal object, non-differentiable behaviors in its dynamics are...
The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynami...
Assimilating the complex with a fractal, non - differentiable behaviors in their dynamics are analyz...
The quadratic Mandelbrot set has been referred to as the most complex and beautiful object in mathem...
The authors have already established a bi univocal correspondence between Riemann zeta functions and...
Recently, there has been a great interest in understanding the mathematics behind fractal sets such ...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
We provide an example of how the complex dynamics of a recently introduced model can be understood v...
Rational maps are self-maps of the Riemann sphere of the form z → p(z)/q(z) where p(z) and q(z) are ...
In this thesis we treat the dynamics of chaotic systems and fractals. Chaotic systems are definedas ...
Abstract: The quadratic Mandelbrot set has been referred to as the most complex and beautiful object...
Estudaremos sistemas dinâmicos complexos da esfera de Riemann, e empregaremos técnicas do Formalismo...
The authors show the existence a bi univocal application between Riemann zeta functions and dynamic ...
We investigate the dynamics defined by the following set of three coupled first-order ODEs: (z) over...
Complex dynamics in a single variable is a well-studied field pioneered by Gaston Julia and Pierre F...
Assimilating a complex fluid with a fractal object, non-differentiable behaviors in its dynamics are...
The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynami...
Assimilating the complex with a fractal, non - differentiable behaviors in their dynamics are analyz...
The quadratic Mandelbrot set has been referred to as the most complex and beautiful object in mathem...
The authors have already established a bi univocal correspondence between Riemann zeta functions and...
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