Evento
Na Quinta-feira, 17/04/2025, às 14h00, haverá seminário do PGMAC, na sala 5 – dpto. de Matemática.
Palestrante: Dr. Carlos Takaessu,
Título: Extension of the Shadowing property to infinite dimensional vector spaces
Abstract: In this talk we will present results related to the Shadowing property. We are concerned in extending the results of Shadowing in finite dimensional compact manifolds, to infinite dimensional vector spaces. As far as we know, to obtain the Lipschitz Shadowing property it is always required some kind of finite dimensionality, even when the phase space is infinite dimensional. For example, if $\mathcal{T}$ is a Morse-Smale dynamical system defined on a Hilbert space $X$ which has an inertial manifold $\mathcal{M}$, that is finite dimensional, then $\mathcal{T}$ has the Shadowing property on a neighborhood of $\mathcal{A}$. With this in mind, we will show that it is still possible to maintain the Shadowing property in the infinite dimensional context, even without requiring the existence of an inertial manifold and appealing to the finite dimensional case.
Editais
Coordenação
- Prof. Dr. Paulo Laerte Natti (Coordenador)
- Prof. Dr. Rodrigo Rossetto Pescim (Vice-Coordenador)
- Prof. Dr. Rodrigo Nunes Monteiro (Terceiro Membro)
Contato
Telefone: (43) 3371- 4711
E-mail: pgmac@uel.br
Endereço: Universidade Estadual de Londrina, Campus Universitário, Rodovia Celso Garcia Cid, 900 Caixa Postal 10011, Centro de Ciências Exatas. CEP: 86057-970, LONDRINA – PR
