19 citations · 19 across the 4 of their papers we have counts for
5 papers
Genericity of distributional chaos in non-autonomous dynamical systems
Francisco Balibrea, Lenka Rucká
In this paper we solve two open problems concerning distributional chaos in non-autonomous discrete dynamical systems stated in [4] and [17]. In the first problem it is wondered if…
Local distributional chaos
Francisco Balibrea, Lenka Rucká
In discrete dynamical system where is a topological space and , three notions of distributional chaos were defined. They were denoted by and $…
On forbidden sets
Francisco Balibrea, Antonio Cascales
In recent literature there are an increasing number of papers where the forbidden sets of difference equations are computed. We review and complete different attempts to describe t…
Topological equivalences for one-parameter bifurcations of maps
Francisco Balibrea, Henrique M. Oliveira, Jose C. Valverde
Homeomorphisms allowing us to prove topological equivalences between one-parameter families of maps undergoing the same bifurcation are constructed in this paper. This provides a s…
Newton maps for quintic polynomials
Francisco Balibrea, Orlando Freitas, Jose Sousa Ramos
The purpose of this paper is to study some properties of the Newton maps associated to real quintic polynomials. First using the Tschirnhaus transformation, we reduce the study of…