On Chaotic Behavior of ASH Attractors
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909747193577472 |
|---|---|
| author | Rego, Elias Vivas, Kendry J. |
| author_facet | Rego, Elias Vivas, Kendry J. |
| contents | 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 large hyperbolic times for points outside the stable manifolds of the singularities. In this paper we will prove that any attractor associated to a $C^1$ vector field $X$ on a three-dimensional manifold satisfying this kind of hyperbolicity is rescaling-expansive and presents sensitiveness respect to initial conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_01553 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On Chaotic Behavior of ASH Attractors Rego, Elias Vivas, Kendry J. Dynamical Systems 37C10, 37D30 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 large hyperbolic times for points outside the stable manifolds of the singularities. In this paper we will prove that any attractor associated to a $C^1$ vector field $X$ on a three-dimensional manifold satisfying this kind of hyperbolicity is rescaling-expansive and presents sensitiveness respect to initial conditions. |
| title | On Chaotic Behavior of ASH Attractors |
| topic | Dynamical Systems 37C10, 37D30 |
| url | https://arxiv.org/abs/2208.01553 |