Search Results - "Pacifico, M. J"

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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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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Large deviations for non-uniformly expanding maps by ARAUJO, V, PACIFICO, M. J

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On measure expansive diffeomorphisms by PACIFICO, M. J., VIEITEZ, J. L.

“…-approximated by non-measure expansive diffeomorphisms.]]>…”
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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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Sufficient conditions for robustness of attractors by MORALES, C. A, PACIFICO, M. J

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On the volume of singular-hyperbolic sets by Alves, J. F., Araújo, V., Pacifico, M. J., Pinheiro, V.

“…An attractor Λ for a 3-vector field X is singular-hyperbolic if all its singularities are hyperbolic and it is partially hyperbolic with volume expanding…”
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Lyapunov exponents for expansive homeomorphisms by Pacifico, M. J, Vieitez, J

“…Proceedings of the Edinburgh Mathematical Society 63 (2020) 413-425 Let (M,d) be a compact metric space and f:M --> M an expansive homeomorphism. We define…”
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Singular strange attractors beyond the boundary of hyperbolic flows by Lee, K., Morales, C.A., Pacifico, M.J.

“…We prove that the suspension of an expanding attractor in the two-disk can be deformed into a robust singular strange attractor. The deformation is done…”
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Exponential speed of mixing for skew-products with singularities by Markarian, R, Pacifico, M. J, Vieitez, J

“…Let $f: [0,1]\times [0,1] \setminus {1/2} \to [0,1]\times [0,1]$ be the $C^\infty$ endomorphism given by $$f(x,y)=(2x- [2x], y+ c/|x-1/2|- [y+ c/|x-1/2|]),$$…”
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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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Infinite-Modal Maps with Global Chaotic Behavior by Pacifico, M. J., Rovella, A., Viana, M.

“…We prove that certain parametrized families of one-dimensional maps with infinitely many critical points exhibit global chaotic behavior in a persistent way:…”
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Multidimensional Rovella-like attractors by Araujo, V, Castro, A, Pacifico, M. J, Pinheiro, V

“…J. Differential Equations 251 (2011) 3163-3201 We present a multidimensional flow exhibiting a Rovella-like attractor: a transitive invariant set with a…”
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Robust entropy expansiveness implies generic domination by Pacifico, M. J, Vieitez, J. L

“…Let $f: M \to M$ be a $C^r$-diffeomorphism, $r\geq 1$, defined on a compact boundaryless $d$-dimensional manifold $M$, $d\geq 2$, and let $H(p)$ be the…”
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Multidimensional Rovella-like attractors by Araújo, V., Castro, A., Pacifico, M.J., Pinheiro, V.

“…We present a multidimensional flow exhibiting a Rovella-like attractor: a transitive invariant set with a non-Lorenz-like singularity accumulated by regular…”
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Changing rotation intervals of endomorphisms of the circle by BAMON, R, MALTA, I, PACIFICO, M. J

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Breaking cycles on surfaces by Malta, I. P., Pacifico, M. J.

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Lorenz like flows: exponential decay of correlations for the Poincar\'e map, logarithm law, quantitative recurrence by Galatolo, S, Pacifico, M. J

“…In this paper we prove that the Poincar\'e map associated to a Lorenz like flow has exponential decay of correlations with respect to Lipschitz observables…”
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Maximal transitive sets with singularities for genericC 1 vector fields by Carballo, C. M., Morales, C. A., Pacifico, M. J.

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Large deviations for non-uniformly expanding maps by Araujo, V, Pacifico, M J

“…Journal of Statistical Physics, v. 125, p. 415-457, 2007 We obtain large deviation results for non-uniformly expanding maps with non-flat singularities or…”
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