Weekly Activities

Omega-limit sets and semi-flows
Speaker:Đặng Vũ Giang

Time: 9h00, Friday, October, 17, 2014

Location: Room 109, Building A5, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi

Abstract: \[\left\{ \begin{aligned}

  & \mathbf{\dot{p}}=\frac{\partial H}{\partial \mathbf{q}} \\ 

 & \mathbf{\dot{q}}=-\frac{\partial H}{\partial \mathbf{p}} \\ 

\end{aligned} \right.\]

   is containing a full-time solution so there are  the limits of $\frac 1t\int_0^t {\mathbf p}(s)ds$  and $\frac 1t\int_0^t {\mathbf q}(s)ds$ as $t\to\infty$ for any bounded solution $(\mathbf {p,q})$ of  the Hamilton system.

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