Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Varao, Regis"'
We prove that the specification property implies infinite topological entropy for operators acting on infinite dimensional $F$-spaces. Furthermore, we establish compact operators acting on Banach spaces exhibit finite entropy and the entropy depends
Externí odkaz:
http://arxiv.org/abs/2409.10844
The concept of folding entropy emerges from Ruelle's studies of entropy production in non-equilibrium statistical mechanics and is a significant notion to understand the complexities of non-invertible dynamical systems. The metric entropy (Kolmogorov
Externí odkaz:
http://arxiv.org/abs/2407.01828
In this work we establish a well defined theory of 'orbit spaces' for nonsmooth vector fields (NSVF). This approach is inspired from the techniques already used in the study of endomorphism, namely inverse limit analysis. We then apply the constructi
Externí odkaz:
http://arxiv.org/abs/2310.13804
Non-smooth vector fields does not have necessarily the property of uniqueness of solution passing through a point and this is responsible to enrich the behavior of the system. Even on the plane non-smooth vector fields can be chaotic, a feature impos
Externí odkaz:
http://arxiv.org/abs/2112.02158
Autor:
Cantarino, Marisa, Varão, Régis
We provide sufficient conditions for smooth conjugacy between two Anosov endomorphisms on the 2-torus. From that, we also explore how the regularity of the stable and unstable foliations implies smooth conjugacy inside a class of endomorphisms includ
Externí odkaz:
http://arxiv.org/abs/2104.01693
We study shadowing and chain recurrence in the context of linear operators acting on Banach spaces or even on normed vector spaces. We show that for linear operators there is only one chain recurrent set, and this set is actually a closed invariant s
Externí odkaz:
http://arxiv.org/abs/2103.12904
It is well known that smooth (or continuous) vector fields cannot be topologically transitive on the sphere $\S^2$. Piecewise-smooth vector fields, on the other hand, may present non-trivial recurrence even on $\S^2$. Accordingly, in this paper the e
Externí odkaz:
http://arxiv.org/abs/2101.12035
Our context is Filippov systems defined on two-dimensional manifolds having a finite number of tangency points. We prove that topological transitivity is a necessary and sufficient condition for the occurrence of non-deterministic chaos when the Fili
Externí odkaz:
http://arxiv.org/abs/2101.12025
In this work we address the problem of existence and uniqueness (finiteness) of ergodic equilibrium states for partially hyperbolic diffeomorphisms isotopic to Anosov on $\mathbb{T}^4$, with 2-dimensional center foliation. To do so we propose to stud
Externí odkaz:
http://arxiv.org/abs/2012.04609
Autor:
Santiago, Bruno, Varão, Régis
In the context of locally constant skew-products over the shift with circle fiber maps we introduce the notion of measures with periodic repetitive pattern, inspired by \cite{GorIlyKleNal:05} and which includes the non-hyperbolic measures they constr
Externí odkaz:
http://arxiv.org/abs/2009.05606