Add to ORKGWorking within the polynomial quadratic family, we introduce a new point of view on bifurcations which naturally allows to see the seat of bifurcations as the projection of a Julia set of a complex dynamical system in dimension three. We expect our approach to be extendable to other holomorphic families of dynamical systems. MSC 2010: 37Fxx, 32H50
This work reports on a study of the Mandelbrot set and Julia set for a generalization of the well-ex...
The Mandelbrot set of the quadratic polynomial pc(z)=z^2+c is the set of those values c such that th...
Part I of this paper has been devoted to properties of the different Julia set configurations, gener...
Working within the polynomial quadratic family, we introduce a new point of view on bifurcations whi...
McMullen in 2000 proved that copies of generalized Mandelbrot set are dense in the bifurcation locus...
This book is mainly devoted to the combinatorics of quadratic holomorphic dynamics. The conceptual k...
Agraïments: The second author is partially supported by the Polish NCN grant decision DEC-2012/06/M/...
10.3934/dcds.2020262Discrete and Continuous Dynamical Systems- Series A40126611-663
We show small Mandelbrot sets are dense in the bifurcation locus for any holomorphic family of ratio...
Educação Superior::Ciências Exatas e da Terra::MatemáticaEach Julia set on the right corresponds to ...
The pictures show Julia sets consisting of points generated by iterating the complex number transfor...
In this thesis we study holomorphic dynamical systems depending on parameters. Our main goal is to c...
For the family of complex rational maps F_λ(z)=z^n+λ/z^d, where λ is a complex parameter and n, d ≥ ...
In the present work we present numerical results which support further a 2 " -type bifurcation scena...
The Mandelbrot set M is a subset of the parameter plane for iteration of the complex quadratic polyn...
This work reports on a study of the Mandelbrot set and Julia set for a generalization of the well-ex...
The Mandelbrot set of the quadratic polynomial pc(z)=z^2+c is the set of those values c such that th...
Part I of this paper has been devoted to properties of the different Julia set configurations, gener...
Working within the polynomial quadratic family, we introduce a new point of view on bifurcations whi...
McMullen in 2000 proved that copies of generalized Mandelbrot set are dense in the bifurcation locus...
This book is mainly devoted to the combinatorics of quadratic holomorphic dynamics. The conceptual k...
Agraïments: The second author is partially supported by the Polish NCN grant decision DEC-2012/06/M/...
10.3934/dcds.2020262Discrete and Continuous Dynamical Systems- Series A40126611-663
We show small Mandelbrot sets are dense in the bifurcation locus for any holomorphic family of ratio...
Educação Superior::Ciências Exatas e da Terra::MatemáticaEach Julia set on the right corresponds to ...
The pictures show Julia sets consisting of points generated by iterating the complex number transfor...
In this thesis we study holomorphic dynamical systems depending on parameters. Our main goal is to c...
For the family of complex rational maps F_λ(z)=z^n+λ/z^d, where λ is a complex parameter and n, d ≥ ...
In the present work we present numerical results which support further a 2 " -type bifurcation scena...
The Mandelbrot set M is a subset of the parameter plane for iteration of the complex quadratic polyn...
This work reports on a study of the Mandelbrot set and Julia set for a generalization of the well-ex...
The Mandelbrot set of the quadratic polynomial pc(z)=z^2+c is the set of those values c such that th...
Part I of this paper has been devoted to properties of the different Julia set configurations, gener...