Zobrazeno 1 - 10
of 104
pro vyhledávání: '"Sanjurjo, José A."'
Autor:
Barge, Héctor, Sanjurjo, José M. R.
In this paper we study the relationship of the Brouwer degree of a vector field with the dynamics of the induced flow. Analogous relations are studied for the index of a vector field. We obtain new forms of the Poincar% \'{e}-Hopf theorem and of the
Externí odkaz:
http://arxiv.org/abs/2303.06472
Autor:
Barge, Héctor, Sanjurjo, José M. R.
Publikováno v:
Discrete and Continuous Dynamical Systems, 2022, 42(6): 2585-2601
In this paper we study generalized Poincar\'e-Andronov-Hopf bifurcations of discrete dynamical systems. We prove a general result for attractors in n-dimensional manifolds satisfying some suitable conditions. This result allows us to obtain sharper H
Externí odkaz:
http://arxiv.org/abs/2105.12464
Autor:
Barge, Héctor, Sanjurjo, José M. R.
Publikováno v:
J. Differential Equations 268 (2020), no. 9, 5329-5352
The aim of this paper is to study dynamical and topological properties of a flow in the region of influence of an isolated non-saddle set. We see, in particular, that some topological conditions are sufficient to guarantee that these sets are attract
Externí odkaz:
http://arxiv.org/abs/1803.02273
Autor:
Barge, Héctor, Sanjurjo, José M. R.
Publikováno v:
A mathematical tribute to Professor Jos\'e Mar\'ia Montesinos Amilibia, 125-132, Dep. Geom. Topol. Fac. Cien. Mat. UCM, Madrid, 2016
In this paper we provide a dynamical characterization of isolated invariant continua which are global attractors for planar dissipative flows. As a consequence, a sufficient condition for an isolated invariant continuum to be either an attractor or a
Externí odkaz:
http://arxiv.org/abs/1802.05726
Autor:
Barge, Héctor, Sanjurjo, José M. R.
Publikováno v:
Topology Appl. 258 (2019), 392-401
In this paper we study continuous parametrized families of dissipative flows, which are those flows having a global attractor. The main motivation for this study comes from the observation that, in general, global attractors are not robust, in the se
Externí odkaz:
http://arxiv.org/abs/1802.05704
Publikováno v:
Journal of Fixed Point Theory and Applications volume 22, Article number: 29 (2020)
We study in this paper global properties, mainly of topological nature, of attractors of discrete dynamical systems. We consider the Andronov-Hopf bifurcation for homeomorphisms of the plane and establish some robustness properties for attractors of
Externí odkaz:
http://arxiv.org/abs/1802.05454
Autor:
Barge, Héctor, Sanjurjo, José M.R.
Publikováno v:
In Journal of Differential Equations 15 April 2020 268(9):5329-5352
Autor:
Barge, Héctor, Sanjurjo, José M.R.
Publikováno v:
In Physica D: Nonlinear Phenomena January 2020 401
Autor:
Barge, Héctor, Sanjurjo, José M.R.
Publikováno v:
In Topology and its Applications 15 May 2019 258:392-401
Autor:
Barge, Héctor, Sanjurjo, José M.R.
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 December 2014 420(1):835-851