Zobrazeno 1 - 10
of 251
pro vyhledávání: '"ARAUJO, VITOR"'
Autor:
Araujo, Vitor, Salgado, Luciana
We show the existence of physical measures for $C^{\infty}$ smooth instances of certain partially hyperbolic dynamics, both continuous and discrete, exhibiting mixed behavior (positive and negative Lyapunov exponents) along the central non-uniformly
Externí odkaz:
http://arxiv.org/abs/2405.10144
Autor:
Araujo, Vitor
On a compact manifold of any dimension $d\geq 3$, we show that joint non-integrability of the stable and unstable foliation of a hyperbolic attractor with one-dimensional expanding direction, for a vector field of class $C^2$, implies exponential mix
Externí odkaz:
http://arxiv.org/abs/2209.04907
We prove that a partially hyperbolic attracting set for a $C^2$ vector field supports an ergodic physical/SRB measure if, and only if, the trapping region admits non-uniform sectional expansion on a positive Lebesgue measure subset. Moreover, in this
Externí odkaz:
http://arxiv.org/abs/2205.04207
Autor:
Araujo, Vitor
Publikováno v:
Journal of Differential Equations Volume 354, 5 (2023):373-402
It is known that sectional-hyperbolic attracting sets, for a $C^2$ flow on a finite dimensional compact manifold, have at most finitely many ergodic physical invariant probability measures. We prove an upper bound for the number of distinct ergodic p
Externí odkaz:
http://arxiv.org/abs/2204.10084
Autor:
Mendes, Márcia, Pereira, Zélia, Matos, João X., Albardeiro, Luis, Morais, Igor, Araújo, Vitor
Publikováno v:
In Revue de micropaléontologie October 2024 84
Autor:
Araujo, Vitor
There exists a $C^2$-open and $C^1$-dense subset of vector fields exhibiting singular-hyperbolic attracting sets (with codimension-two stable bundle), in any $d$-dimensional compact manifold ($d\ge3$), which mix exponentiallu with respect to any phys
Externí odkaz:
http://arxiv.org/abs/2112.01436
Autor:
Araujo, Vitor, Trindade, Edvan
Publikováno v:
Journal of Dynamics and Differential Equations, nov, 2021 (online)
We extend results on robust exponential mixing for geometric Lorenz attractors, with a dense orbit and a unique singularity, to singular-hyperbolic attracting sets with any number of (either Lorenz- or non-Lorenz-like) singularities and finitely many
Externí odkaz:
http://arxiv.org/abs/2012.13183
Autor:
Araujo, Vitor
Publikováno v:
Journal of Statistical Physics (2021) 182:53
We present criteria for statistical stability of attracting sets for vector fields using dynamical conditions on the corresponding generated flows. These conditions are easily verified for all singular-hyperbolic attracting sets of $C^2$ vector field
Externí odkaz:
http://arxiv.org/abs/2006.12157
Autor:
Pereira, Zélia, Matos, João Xavier, Mendes, Márcia, Solá, Rita, Albardeiro, Luís, Morais, Igor, Araújo, Vitor, Pacheco, Nelson, Oliveira, José Tomás
Publikováno v:
In Geobios October 2023 80:55-71
Autor:
Albardeiro, Luís, Morais, Igor, Matos, João X., Solá, Rita, Salgueiro, Rute, Pereira, Zélia, Mendes, Márcia, Batista, Maria J., de Oliveira, Daniel, Díez-Montes, Alejandro, Inverno, Carlos, Pacheco, Nelson, Araújo, Vítor
Publikováno v:
In Gondwana Research September 2023 121:235-258