Seminário de Sistemas Dinâmicos

On 10/01/20 14:19 . Updated at 10/01/20 14:19 .

Data: 06 de outubro de 2020, às 9:00

Palestrante: Yovani Villanueva

Título: Global aspects of non-smooth vector fields with the sphere as switching manifold.

Link: meet.google.com/zuz-idzj-cat

 

 

Resumo:

A typical characteristic of the ODE's qualitative analysis is that it ends up being local. In this article, we show a global study of inelastic (and refractive) non-smooth systems in $\mathbb{R}^{3}$ separated by the unit sphere, covering a complete description of the vector field in the switching manifold and the global behaviour of the exterior and interior vector fields through robust classification theorems related to the cases of tangency. We got interesting results in limit sets, and asymptotic stability and bifurcations.