Unstable manifold, Conley index and fixed points of flows H Barge, JMR Sanjurjo
Journal of Mathematical Analysis and Applications 420 (1), 835-851, 2014
16 2014 Bifurcations, robustness and shape of attractors of discrete dynamical systems H Barge, A Giraldo, JMR Sanjurjo
Journal of Fixed Point Theory and Applications 22 (2), 29, 2020
10 2020 A Conley index study of the evolution of the Lorenz strange set H Barge, JMR Sanjurjo
Physica D: Nonlinear Phenomena 401, 132162, 2020
9 2020 Dissonant points and the region of influence of non-saddle sets H Barge, JMR Sanjurjo
Journal of Differential Equations 268 (9), 5329-5352, 2020
9 2020 Regular blocks and Conley index of isolated invariant continua in surfaces H Barge
Nonlinear Analysis 146, 100-119, 2016
9 2016 Knots and solenoids that cannot be attractors of self-homeomorphisms of H Barge, JJ Sánchez-Gabites
International Mathematics Research Notices, 2019
7 * 2019 Higher dimensional topology and generalized Hopf bifurcations for discrete dynamical systems H Barge, JMR Sanjurjo
Discrete and Continuous Dynamical Systems, 2022
6 2022 Dissipative flows, global attractors and shape theory H Barge, JMR Sanjurjo
Topology and its applications 258, 392-401, 2019
6 2019 Bifurcations and attractor-repeller splittings of non-saddle sets H Barge, JMR Sanjurjo
Journal of Dynamics and Differential Equations 30, 257-272, 2018
6 2018 Fixed points, bounded orbits and attractors of planar flows H Barge, JMR Sanjurjo
A Mathematical Tribute to José María Montesinos Amilibia, 125-132, 2016
5 2016 The geometric index and attractors of homeomorphisms of H Barge, JJ Sánchez-Gabites
Ergodic Theory and Dynamical Systems 43 (1), 50-77, 2023
4 2023 Flows in without interior fixed points, global attractors and bifurcations H Barge, JMR Sanjurjo
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie …, 2018
4 2018 Cech cohomology, homoclinic trajectories and robustness of non-saddle sets H Barge
Discrete and Continuous Dynamical Systems, 2020
3 2020 Mayer-Vietoris property of the fixed point index H Barge, K Wójcik
Topological Methods in Nonlinear Analysis 50 (2), 643-667, 2017
2 2017 Knotted toroidal sets, attractors and incompressible surfaces H Barge, JJ Sánchez-Gabites
Selecta Mathematica New Series 30 (32), 2024
1 2024 The realization problem of non-connected compacta as attractors H Barge, JJ Sánchez-Gabites
Topology and its Applications 339, 108573, 2023
1 2023 Topology and dynamics of a flow that has a non-saddle set or a -set H Barge, JJ Sánchez-Gabites, JMR Sanjurjo
arXiv preprint arXiv:2411.03778, 2024
2024 The topology of dissipative systems H Barge, JMR Sanjurjo
Proceedings 8ECM, 907-925, 2023
2023 Shape index, Brouwer degree and Poincar\'e-Hopf theorem H Barge, JMR Sanjurjo
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2023
2023 On the growth rate inequality for self-maps of the sphere H Barge, L Hernández-Corbato
arXiv preprint arXiv:2301.08543, 2023
2023