Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Rego, Elias"'
Autor:
Rego, Elias, Romaña, Sergio
In this work, we investigate diffeomorphisms whose positiveness of topological entropy is destroyed by singular suspensions. We show that this phenomenon is rare in the set of $C^1$-diffeomorphisms. Precisely, we prove that for an open and dense set
Externí odkaz:
http://arxiv.org/abs/2402.03132
In this work we consider foliations of compact manifolds whose holonomy pseudo-group is expansive, and analyze their number of compact leaves. Our main result is that in the codimension-one case this number is at most finite, and we give examples of
Externí odkaz:
http://arxiv.org/abs/2310.07169
Autor:
Carvalho, Bernardo, Rego, Elias
Publikováno v:
Nonlinearity 37 (2024) 095004
We discuss different regularities on stable/unstable holonomies of cw-hyperbolic homeomorphisms and prove that if a cw-hyperbolic homeomorphism has continuous joint stable/unstable holonomies, then it has a dense set of periodic points in its non-wan
Externí odkaz:
http://arxiv.org/abs/2306.00524
In this work we study the existence of singular flows satisfying shadowing-like properties. More precisely, we prove that if C1 -vector field on a closed manifold induces a chain-recurrent flow containing an attached hyperbolic singularity of stable
Externí odkaz:
http://arxiv.org/abs/2303.06131
In this paper, we make several contributions to the theory of asymptotically sectional-hyperbolic (ASH) flows. First, we prove that every star ASH attractor for a $C^2$ vector field is, in fact, sectional-hyperbolic (SH). Second, we establish that al
Externí odkaz:
http://arxiv.org/abs/2210.12038
Autor:
Rego, Elias, Vivas, Kendry J.
The asymptotic sectional hyperbolicity is a weak notion of hyperbolicity that extends properly the sectional-hyperbolicity and includes the Rovella attractor as a archetypal example. The main feature of this definition is the existence of arbitrarily
Externí odkaz:
http://arxiv.org/abs/2208.01553
Autor:
Rego, Elias
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 February 2025 542(1)
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena September 2024 186
In this work we introduce and explore a rescaled-theory of local stable and unstable sets for rescaled-expansive flows and its applications to topological entropy. We introduce a rescaled version of the local unstable sets and the unstable points. We
Externí odkaz:
http://arxiv.org/abs/2107.01708
Autor:
Rego, Elias, Arbieto, Alexander
In this work we introduce a concept of expansiveness for actions of connected Lie groups. We study some of its properties and investigate some implications of expansiveness. We study the centralizer of expansive actions and introduce CW-expansiveness
Externí odkaz:
http://arxiv.org/abs/2103.06399