Search Results - "Pujals, E. R."

Singular-hyperbolic attractors are chaotic by Araujo, V., Pacifico, M. J., Pujals, E. R., Viana, M.

“…We prove that a singular-hyperbolic attractor of a 3-dimensional flow is chaotic, in two different strong senses. First, the flow is expansive: if two points…”
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Motion of vortices implies chaos in Bohmian mechanics by Wisniacki, D. A, Pujals, E. R

“…Bohmian mechanics is a causal interpretation of quantum mechanics in which particles describe trajectories guided by the wave function. The dynamics in the…”
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Robust Transitive Singular Sets for 3-Flows Are Partially Hyperbolic Attractors or Repellers by Morales, C. A., Pacifico, M. J., Pujals, E. R.

“…Inspired by Lorenz' remarkable chaotic flow, we describe in this paper the structure of all C1robust transitive sets with singularities for flows on closed…”
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Vortex interaction, chaos and quantum probabilities by Wisniacki, D. A, Pujals, E. R, Borondo, F

“…The motion of a single vortex is able to originate chaos in the quantum trajectories defined in Bohm's interpretation of quantum mechanics. In this letter, we…”
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Singular hyperbolic systems by Morales, C. A., Pacifico, M. J., Pujals, E. R.

“…We construct a class of vector fields on 3-manifolds containing the hyperbolic ones and the geometric Lorenz attractor. Conversely, we shall prove that…”
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A C1-Generic Dichotomy for Diffeomorphisms: Weak Forms of Hyperbolicity or Infinitely Many Sinks or Sources by Bonatti, C., Díaz, L. J., Pujals, E. R.

“…We show that, for every compact n-dimensional manifold, n ≥ 1, there is a residual subset of$\text{Diff}^{1}(M)$of diffeomorphisms for which the homoclinic…”
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Strange Attractors Across the Boundary¶of Hyperbolic Systems by Morales, C. A., Pacifico, M. J., Pujals, E. R.

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Self-Similarity in a Cantor-Like Semiconductor Quantum Well by Gaggero-Sager, L.M., Pujals, E.R., Sotolongo-Costa, O.

“…We present the first calculus of the electronic structure, the wave function and the charge density of a single isolated Cantor quantum well in GaAs/AlGaAs…”
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Infinite ergodic theory and Non-extensive entropies by Gaggero-Sager, L. M, Sotolongo-Costa, E. R. Pujals And O

“…We bring into account a series of result in the infinite ergodic theory that we believe that they are relevant to the theory of non-extensive entropies…”
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Infinite Ergodic Theory and Non-extensive Entropies by Gaggero-Sager, Luis M., Pujals, E. R., Sotolongo-Costa, O.

“…We recapitulate results from the infinite ergodic theory that are relevant to the theory of non-extensive entropies. In particular, we recall that the Lyapunov…”
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A C 1 -generic dichotomy for diffeomorphisms: Weak forms of hyperbolicity or infinitely many sinks or sources by Bonatti, Christian, Díaz, Lorenzo, Pujals, Enrique

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Robust transitivity and domination for endomorphisms displaying critical points by Lizana, C, Potrie, R, Pujals, E. R, Ranter, W

“…We show that robustly transitive endomorphisms of a closed manifolds must have a non-trivial dominated splitting or be a local diffeomorphism. This allows to…”
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Homoclinic Tangencies and Hyperbolicity for Surface Diffeomorphisms by Pujals, Enrique R., Sambarino, Martin

“…We prove here that in the complement of the closure of the hyperbolic surface diffeomorphisms, the ones exhibiting a homoclinic tangency are C1dense. This…”
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Partial hyperbolicity and robust transitivity by Díaz, Lorenzo J., Pujals, Enrique R., Ures, Raúl

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A C^1 -Generic dichotomy for diffeomorphisms by Bonatti, C, Diaz, L. J, Pujals, E. R

“…Ann. of Math. (2), vol. 158 (2003), no.2, 355--418 We show that, for every compact n-dimensional manifold, n\geq 1, there is a residual subset of Diff^1(M) of…”
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Vortex interaction, chaos and quantum probabilities by Wisniacki, D. A, Pujals, E. R, Borondo, F

“…Europhysics Letters 73, 671 (2006) The motion of a single vortex is able to originate chaos in the quantum trajectories defined in Bohm's interpretation of…”
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