Seminário de Sistemas Dinâmicos
Em 01/10/20 14:19.
Atualizada em 01/10/20 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.