I have a dynamical system $dx/dt=f(a,b,c,d, x,t)$, where $x=(x_1,x_2,x_3)$ and $a,b,c,d$ are parameters.
I put $dx/dt=0$ in order to calculate equilibrium points and get a variable-time point $\overline{x}(t)=(\overline{x_1}(t),\overline{x_2}(t),\overline{x_3}(t))$ s.t. $d\overline{x}/dt=0$.
This occurs because the parameters $a,b,c,d$ are involved with $t$.
How can I apply this? I mean, what can I conclude? For each $t$, I have a different equilibrium point!
Many thanks in advance.