The only definition I have so far is that the suspension flow denoted by $\sigma ^t_f$ is determined by the "vertical" vector field $\frac{\partial}{\partial t}$ on $M_f$ (the suspension manifold), then to get use to this $\sigma ^t_f$ I picked up the easiest $M$, an interval, so I'm asking the following:
Let $M=[0,1]$ and $f(x)=1-x$ then I now that the suspension manifold with respect to $f$, $M_f$, is homeomorphic to the Mobius strip, since $M_f$ is only a rotation and translation of it, then, since I don't know it looks like, I would like to know characteristics about the suspension flow, like
1) how many orbits with period one or two does it have?,
2) if it has period one/two orbits, does they separate $M_f$?,
3) and if someone does, then How many and how are those pieces?
Thanks in advance for your help.