Zobrazeno 1 - 10
of 90
pro vyhledávání: '"Pacifico, Maria José"'
We consider partially hyperbolic diffeomorphisms $f$ with a one-dimensional central direction such that the unstable entropy exceeds the stable entropy. Our main result proves that such maps have a finite number of ergodic measures of maximal entropy
Externí odkaz:
http://arxiv.org/abs/2401.02776
We prove that if $f$ is a $C^{1+}$ partially hyperbolic diffeomorphism satisfying certain conditions then there is a $C^1$-open neighborhood $\cA$ of $f$ so that every $g\in \cA\cap \operatorname{Diff}^{1+}(M)$ has a unique equilibrium state.
Externí odkaz:
http://arxiv.org/abs/2306.12323
It has long been conjectured that the classical Lorenz attractor supports a unique measure of maximal entropy. In this article, we give a positive answer to this conjecture and its higher-dimensional counterpart by considering the uniqueness of equil
Externí odkaz:
http://arxiv.org/abs/2209.10784
In this note, we consider the thermodynamic formalism for Lorenz attractors of flows in any dimension. Under a mild condition on the H\"older continuous potential function $\phi$, we prove that for an open and dense subset of $C^1$ vector fields, eve
Externí odkaz:
http://arxiv.org/abs/2201.06622
We consider the uniqueness of equilibrium states for dynamical systems that satisfy certain weak, non-uniform versions of specification, expansivity, and the Bowen property at a fixed scale. Following Climenhaga-Thompson's approach which was original
Externí odkaz:
http://arxiv.org/abs/2201.06568
We derive sufficient conditions for a dynamical systems to have a set of irregular points with full topological entropy. Such conditions are verified for some nonuniformly hyperbolic systems such as positive entropy surface diffeomorphisms and ration
Externí odkaz:
http://arxiv.org/abs/2112.00175
We show that non-trivial chain recurrent classes for generic $C^1$ star flows satisfy a dichotomy: either they have zero topological entropy, or they must be isolated. Moreover, chain recurrent classes for generic star flows with zero entropy must be
Externí odkaz:
http://arxiv.org/abs/2101.09480
We present a slightly modified version of the well known "geometric Lorenz attractor". It consists in a C1 open set O of vector fields in R3 having an attracting region U containing: (1) a unique singular saddle point sigma; (2) a unique attractor La
Externí odkaz:
http://arxiv.org/abs/2101.07391
Autor:
Pacifico, Maria Jose, Sanhueza, Diego
Publikováno v:
Journal of Differential Equations, 2022
We study the Bowen topological entropy of generic and irregular points for certain dynamical systems. We define the topological entropy of noncompact sets for flows, analogous to Bowen's definition. We show that this entropy coincides with the Bowen
Externí odkaz:
http://arxiv.org/abs/1908.08072