21 citations · 44 across the 12 of their papers we have counts for
10 papers · 1 filter
Boundedness and simple connectivity of the basins of attraction for some numerical methods
Jordi Canela, Antonio Garijo, Xavier Jarque
In this paper we study the dynamics of Halley's and Traub's root-finding algorithms applied to a symmetric family of polynomials of degree . We discuss the (un)boundedne…
Connected McMullen-like Julia sets in a Chebyshev-Halley Family
Jordi Canela, Antonio Garijo, Pascale Roesch
In this paper we study a one parameter family of rational maps obtained by applying the Chebyshev-Halley root finding algorithms. We show that the dynamics near parameters where th…
Dynamical mechanism behind ghosts unveiled in a map complexification
Jordi Canela, Lluís Alsedà, Núria Fagella +1
Complex systems such as ecosystems, electronic circuits, lasers or chemical reactions can be modelled by dynamical systems which typically experience bifurcations. Transients typic…
Achievable connectivities of Fatou components for a family of singular perturbations
Jordi Canela, Xavier Jarque, Dan Paraschiv
In this paper we study the connectivity of Fatou components for maps in a large family of singular perturbations. We prove that, for some parameters inside the family, the dynamica…
Tips of Tongues in the Double Standard Family
Kuntal Banerjee, Xavier Buff, Jordi Canela +1
We answer a question raised by Misiurewicz and Rodrigues concerning the family of degree 2 circle maps defined by \[F_λ(x) := 2…
Julia sets with a wandering branching point
Xavier Buff, Jordi Canela, Pascale Roesch
According to the Thurston No Wandering Triangle Theorem, a branching point in a locally connected quadratic Julia set is either preperiodic or precritical. Blokh and Oversteegen pr…
Rational maps with Fatou components of arbitrarily large connectivity
Jordi Canela
We study the family of singular perturbations of Blaschke products . We analyse how the connectivity of the Fatou components…
Singular perturbations of Blaschke Products and connectivity of Fatou components
Jordi Canela
The goal of this paper is to study the family of singular perturbations of Blaschke products given by . We focus on the study…
Tongues in Degree 4 Blaschke Products
Jordi Canela, Núria Fagella, Antonio Garijo
The goal of this paper is to investigate the family of Blasche products , which is a rational family of perturbations of the doubling map. We focu…
On a Family of Rational Perturbations of the Doubling Map
Jordi Canela, Núria Fagella, Antonio Garijo
The goal of this paper is to investigate the parameter plane of a rational family of perturbations of the doubling map given by the Blaschke products $B_a(z)=z^3\frac{z-a}{1-\bar{a…