scholarly journals N-expansive flows

2021 ◽  
pp. 107869
Author(s):  
Alfonso Artigue ◽  
Welington Cordeiro ◽  
Maria José Pacífico
Keyword(s):  
Expansive Flows

scholarly journals Expansive flows and their centralizers

1976 ◽  
Vol 64 ◽  
pp. 1-15 ◽  
Author(s):  
Masatoshi Oka
Keyword(s):  
Metric Spaces ◽  
The Other ◽  
Other Hand ◽  
Expansive Flows ◽  
Similar Notion

R. Bowen and P. Walters [2] have defined expansive flows on metric spaces which generalized the similar notion by D. Anosov [1]. On the other hand, P. Walters [4] investigated continuous transformations of metric spaces with discrete centralizers and unstable centralizers and proved that expansive homeomorphisms have unstable centralizers.

scholarly journals Kinematic expansive flows

2014 ◽  
Vol 36 (2) ◽  
pp. 390-421 ◽  
Author(s):  
ALFONSO ARTIGUE
Keyword(s):  
Vector Fields ◽  
Metric Spaces ◽  
Smooth Manifolds ◽  
Compact Metric Spaces ◽  
Expansive Flows

In this paper we study kinematic expansive flows on compact metric spaces, surfaces and general manifolds. Different variations of the definition are considered and its relationship with expansiveness in the sense of Bowen–Walters and Komuro is analyzed. We consider continuous and smooth flows and robust kinematic expansiveness of vector fields is considered on smooth manifolds.

scholarly journals Countably Expansiveness for Continuous Dynamical Systems

Mathematics ◽  
2019 ◽  
Vol 7 (12) ◽  
pp. 1228
Author(s):  
Manseob Lee ◽  
Jumi Oh
Keyword(s):  
Vector Field ◽  
Dynamical Systems ◽  
Stability Theory ◽  
Smooth Manifold ◽  
The Stability ◽  
Expansive Flows ◽  
Dense Set

Expansiveness is very closely related to the stability theory of the dynamical systems. It is natural to consider various types of expansiveness such as countably-expansive, measure expansive, N-expansive, and so on. In this article, we introduce the new concept of countably expansiveness for continuous dynamical systems on a compact connected smooth manifold M by using the dense set D of M, which is different from the weak expansive flows. We establish some examples having the countably expansive property, and we prove that if a vector field X of M is C 1 stably countably expansive then it is quasi-Anosov.

scholarly journals C1-stably expansive flows

2005 ◽  
Vol 213 (2) ◽  
pp. 352-367 ◽  
Author(s):  
K. Moriyasu ◽  
K. Sakai ◽  
W. Sun
Keyword(s):  
Expansive Flows

scholarly journals Expansive flows of surfaces

2013 ◽  
Vol 33 (2) ◽  
pp. 505-525 ◽  
Author(s):  
Alfonso Artigue ◽  
Keyword(s):  
Expansive Flows
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