Say I have a dynamical system on the disk in polar coordinates
$ (\dot{r},\dot{\phi}) = f(r,\phi)(t) $
I'm interested in doing a bifurcation analysis of the system, but in a rotating coordinate system, where the disk turns with a fixed angular frequency $\omega$. How do I transform my Dynamical system?
Is it straightforward, and I just substract the frequency to my equation for the phase $\dot{\phi}$ and look at $(\dot{r},\dot{\phi}-\omega)$ ?
What if the system is coupled, then this model doesn't work, because $\dot{r}$ will be influenced by the rotation.