Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Let $\dot x = f(x)$ be a differential equation (assume $f$ is smooth enough). Let $x_{0}$ be an initial condition and the limit set $\omega$ of $x_{0}$ contains only fixed points (non-hyperbolic for sure). Let $\phi(x,t)$ be the flow and $p \in \omega$. Can I argue that there exists a $n_{0}$ such that for $n \geq n_{0}$ we have that $\phi(x_{0},n)$ $\in W_{c\;s}$ the center-stable manifold at fixed point $p$ ($n$ is natural).

share|improve this question

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.