Hi all,

I have a dynamical system of two non-linear autonomous ODE's.

The general form is

q'[t] = F_1(q,z)

z'[t] = F_2(q,z)

Actually, I'm interested in the function q[t], given some initial conditions q[0] and z[0]. See attachment for more details and the specific form of F_1 and F_2.

Is there some methodology that this can be answered? Also any literature or advice would be highly appreciated.

Thanks in advance,

idaios