Logistic-like and Gauss coupled maps: The born of period-adding cascades

DR da Costa, JGS Rocha, LS de Paiva… - Chaos, Solitons & …, 2021 - Elsevier
In this paper we study a logistic-like and Gauss coupled maps to investigate the period-
adding phenomenon, where infinite sets of periodicity (p) form a sequence in planar …

Convergence regions for the Chebyshev–Halley family

B Campos, J Canela, P Vindel - Communications in Nonlinear Science and …, 2018 - Elsevier
In this paper we study the dynamical behavior of the Chebyshev–Halley methods on the
family of degree n polynomials z n+ c. We prove that, despite increasing the degree, it is still …

Singular perturbations of Blaschke products and connectivity of Fatou components

J Canela - arxiv preprint arxiv:1702.01074, 2017 - arxiv.org
The goal of this paper is to study the family of singular perturbations of Blaschke products
given by $ B_ {a,\lambda}(z)= z^ 3\frac {za}{1-\overline {a} z}+\frac {\lambda}{z^ 2} $. We …

On some advances in dynamics of one variable complex functions

M Sajid - International Journal of Applied Mathematics, 2021 - diogenes.bg
In this article, we present some recent advances in the dynamics of one variable complex
functions which are especially associated to the Julia sets, the Fatou sets, the Sigel disks …

Exploring parameter spaces in complex dynamics

PIS Navarro - Selecciones Matemáticas, 2023 - dialnet.unirioja.es
We show the structure of the parameter space for a family of rational maps containing
Blaschke products. Through numerical simulations using the orbit of a single critical point …

Newton-Like Components in the Chebyshev–Halley Family of Degree n Polynomials

D Paraschiv - Mediterranean Journal of Mathematics, 2023 - Springer
Abstract We study the Chebyshev–Halley methods applied to the family of polynomials fn, c
(z)= zn+ c, for n≥ 2 and c∈ C∗. We prove the existence of parameters such that the …

Tips of tongues in the double standard family

K Banerjee, X Buff, J Canela, A Epstein - Nonlinearity, 2021 - iopscience.iop.org
Tips of tongues in the double standard family* Page 1 Nonlinearity PAPER Tips of tongues in
the double standard family* To cite this article: Kuntal Banerjee et al 2021 Nonlinearity 34 8174 …