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pro vyhledávání: '"Balibrea, Francisco"'
Autor:
Balibrea, Francisco, Rucká, Lenka
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 the limit function of pointwise convergent non-autonomous system with
Externí odkaz:
http://arxiv.org/abs/2410.10288
Autor:
Balibrea, Francisco, Rucká, Lenka
In discrete dynamical system $(X, f)$ where $X$ is a topological space and $f \in C(X,X)$, three notions of distributional chaos were defined. They were denoted by $DC1, DC2$ and $DC3$. For interval systems such three notions coincide and they will b
Externí odkaz:
http://arxiv.org/abs/2112.01457
Autor:
Balibrea, Francisco, Rucká, Lenka
Publikováno v:
Journal of Difference Equations & Applications; Oct2024, Vol. 30 Issue 10, p1662-1670, 9p
Autor:
Balibrea, Francisco, Cascales, Antonio
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 the forbidden set and propose new perspectives for further research and
Externí odkaz:
http://arxiv.org/abs/1505.07043
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 solution for a classical problem in bifurcation theory that was set out
Externí odkaz:
http://arxiv.org/abs/1503.03700
Autor:
Solano, Joaquín1 (AUTHOR) joaquin.solano@upct.es, Balibrea, Francisco2 (AUTHOR), Moreno, José Andrés3 (AUTHOR), Marín, Fulgencio4 (AUTHOR)
Publikováno v:
Mathematics (2227-7390). Mar2023, Vol. 11 Issue 6, p1341. 14p.
Akademický článek
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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 Newton's method for general quintic polynomials to the case $f(x)=x^{5
Externí odkaz:
http://arxiv.org/abs/math/0501327
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation October 2015 27(1-3):40-51
Autor:
Balibrea Francisco
Publikováno v:
Applied Mathematics and Nonlinear Sciences, Vol 1, Iss 2, Pp 391-404 (2016)
Most of problems in Topological Dynamics in the theory of general autonomous discrete dynamical systems have been addressed in the non-autonomous setting. In this paper we will review some of them, giving references and stating open questions.
Externí odkaz:
https://doaj.org/article/1dbc77a1fc304083a908f8bac99b8cee