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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
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
Autor:
Balibrea Francisco, Caballero M.V.
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 46, Pp 1-13 (2014)
We construct examples proving that there exist C1-dynamical systems in [0,1) having forward orbits instable in the sense of Lyapunov with negative Lyapunov exponent and forward orbits stable in the same sense, but having positive Lyapunov exponents
Externí odkaz:
https://doaj.org/article/bab83c40f40f4c9ab745836856c2b4f7
Autor:
Balibrea Francisco
Publikováno v:
Topological Algebra and its Applications, Vol 3, Iss 1 (2015)
Discrete dynamical systems are given by the pair (X, f ) where X is a compact metric space and f : X → X a continuous maps. During years, a long list of results have appeared to precise and understand what is the complexity of the systems. Among th
Externí odkaz:
https://doaj.org/article/c23ff0fa18d24c1a8f633b983b4f66d3
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.
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