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Hector Barge
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Unstable manifold, Conley index and fixed points of flows
H Barge, JMR Sanjurjo
Journal of Mathematical Analysis and Applications 420 (1), 835-851, 2014
152014
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
92020
A Conley index study of the evolution of the Lorenz strange set
H Barge, JMR Sanjurjo
Physica D: Nonlinear Phenomena 401, 132162, 2020
92020
Dissonant points and the region of influence of non-saddle sets
H Barge, JMR Sanjurjo
Journal of Differential Equations 268 (9), 5329-5352, 2020
92020
Regular blocks and Conley index of isolated invariant continua in surfaces
H Barge
Nonlinear Analysis 146, 100-119, 2016
92016
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
62022
Dissipative flows, global attractors and shape theory
H Barge, JMR Sanjurjo
Topology and its applications 258, 392-401, 2019
62019
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
52018
Fixed points, bounded orbits and attractors of planar flows
H Barge, JMR Sanjurjo
A Mathematical Tribute to José María Montesinos Amilibia, 125-132, 2016
52016
The geometric index and attractors of homeomorphisms of
H Barge, JJ Sánchez-Gabites
Ergodic Theory and Dynamical Systems 43 (1), 50-77, 2023
42023
Bifurcations and attractor-repeller splittings of non-saddle sets
H Barge, JMR Sanjurjo
Journal of Dynamics and Differential Equations 30, 257-272, 2018
42018
Cech cohomology, homoclinic trajectories and robustness of non-saddle sets
H Barge
Discrete and Continuous Dynamical Systems, 2020
22020
Mayer-Vietoris property of the fixed point index
H Barge, K Wójcik
Topological Methods in Nonlinear Analysis 50 (2), 643-667, 2017
22017
Knotted toroidal sets, attractors and incompressible surfaces
H Barge, JJ Sánchez-Gabites
Selecta Mathematica New Series 30 (32), 2024
12024
The realization problem of non-connected compacta as attractors
H Barge, JJ Sánchez-Gabites
Topology and its Applications 339, 108573, 2023
12023
The topology of dissipative systems
H Barge, JMR Sanjurjo
Proceedings 8ECM, 907-925, 2023
2023
Special Volume on the occasion of the 70th birthday of Professor José MR Sanjurjo
H Barge, J Dydak, D Kołodziejczyk, FRR del Portal, JJ Sánchez-Gabites
Topology and its Applications, 108567, 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
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Articles 1–20