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How strange can an attractor for a dynamical system in a 3-manifold look?

Nonlinear analysis, 2011-12, Vol.74 (17), p.6162-6185

Sánchez-Gabites, J.J.

2011

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The realization problem of non-connected compacta as attractors

Topology and its applications, 2023-11, Vol.339, p.108573, Article 108573

2023

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Special Volume on the occasion of the 70th birthday of Professor José M.R. Sanjurjo

Topology and its applications, 2023-11, Vol.339, p.108567, Article 108567

2023

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Čech cohomology of attractors of discrete dynamical systems

Journal of Differential Equations, 2014-10, Vol.257 (8), p.2826-2845

2014

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On the topology of the boundary of a basin of attraction

Proceedings of the American Mathematical Society, 2007-12, Vol.135 (12), p.4087-4098

2007

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Knotted toroidal sets, attractors and incompressible surfaces

Selecta mathematica (Basel, Switzerland), 2024-04, Vol.30 (2), Article 32

2024

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On the set of wild points of attracting surfaces in R 3

Advances in mathematics (New York. 1965), 2017-07, Vol.315, p.246-284

Sánchez-Gabites, J.J.

2017

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Arcs, balls and spheres that cannot be attractors in \mathbb{R}^3

Transactions of the American Mathematical Society, 2016-05, Vol.368 (5), p.3591-3627

J. J. Sánchez-Gabites

2016

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Infinite series in cohomology: attractors and Conley index

Mathematische Zeitschrift, 2020-04, Vol.294 (3-4), p.1127-1180

2020

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Dynamical systems and shapes

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2008-01, Vol.102 (1), p.127-159

Sánchez-Gabites, J. J.

2008

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Unstable attractors in manifolds

Transactions of the American Mathematical Society, 2010-07, Vol.362 (7), p.3563-3589

J. J. Sánchez-Gabites

2010

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An approach to the shape Conley index without index pairs

Revista matemática complutense, 2011, Vol.24 (1), p.95-114

Sánchez-Gabites, J. J.

2011

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The geometric index and attractors of homeomorphisms of

Ergodic theory and dynamical systems, 2023-01, Vol.43 (1), p.50-77

2023

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Dynamics and eigenvalues in dimension zero

Ergodic theory and dynamical systems, 2020-09, Vol.40 (9), p.2434-2452

2020

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Multivalued maps, selections and dynamical systems

Topology and its applications, 2008-04, Vol.155 (8), p.874-882

2008

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Universal bounds on the entropy of toroidal attractors

Revista matemática iberoamericana, 2024-07, Vol.40 (5), p.1953-1988

2024

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On finite-dimensional global attractors of homeomorphisms

The Bulletin of the London Mathematical Society, 2016-06, Vol.48 (3), p.483-498

2016

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Topology and dynamics of unstable attractors

Fundamenta mathematicae, 2007, Vol.197, p.239-252

2007

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Embedding of global attractors and their dynamics

Proceedings of the American Mathematical Society, 2011-10, Vol.139 (10), p.3497-3512

2011

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On the components of the unstable set of isolated invariant sets

Topology and its applications, 2023-11, Vol.339, p.108581, Article 108581

2023

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A homotopical property of attractors

Topological Methods in Nonlinear Analysis, 2015-12, Vol.46 (2), p.1089

2015

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Shape properties of the boundary of attractors

Glasnik matematički, 2007-06, Vol.42 (1), p.117-130

2007

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The geometric index and attractors of homeomorphisms of $\mathbb {R}^3

Ergodic theory and dynamical systems, 2023-01, Vol.43 (1), p.50-77

2023

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Knots and Solenoids that Cannot Be Attractors of Self-homeomorphisms of ℝ3

International mathematics research notices, 2021-06, Vol.2021 (13), p.10373-10407

2021

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Arcs, balls and spheres that cannot be attractors in ℝ3

Transactions of the American Mathematical Society, 2016-05, Vol.368 (5), p.3519-3627

Sánchez-Gabites, J. J.

2016

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How strange can an attractor for a dynamical system in a 3-manifold look?

The realization problem of non-connected compacta as attractors

Special Volume on the occasion of the 70th birthday of Professor José M.R. Sanjurjo

Čech cohomology of attractors of discrete dynamical systems

On the topology of the boundary of a basin of attraction

Knotted toroidal sets, attractors and incompressible surfaces

On the set of wild points of attracting surfaces in R 3

Arcs, balls and spheres that cannot be attractors in \mathbb{R}^3

Infinite series in cohomology: attractors and Conley index

Dynamical systems and shapes

Unstable attractors in manifolds

An approach to the shape Conley index without index pairs

The geometric index and attractors of homeomorphisms of

Dynamics and eigenvalues in dimension zero

Multivalued maps, selections and dynamical systems

Universal bounds on the entropy of toroidal attractors

On finite-dimensional global attractors of homeomorphisms

Topology and dynamics of unstable attractors

Embedding of global attractors and their dynamics

On the components of the unstable set of isolated invariant sets

A homotopical property of attractors

Shape properties of the boundary of attractors

The geometric index and attractors of homeomorphisms of $\mathbb {R}^3

Knots and Solenoids that Cannot Be Attractors of Self-homeomorphisms of ℝ3

Arcs, balls and spheres that cannot be attractors in ℝ3

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