Question: Can Maple solve a non-linear recurrency system

Greetings,

I want to solve the non linear recurrency system:

x[1](k*T+T) = x[1](k*T)+2*u[1]*psi*cos(alpha); x[2](k*T+T) = x[2](k*T)+2*u[1]*psi*sin(alpha); theta[0](k*T+T) = theta[0](k*T)+T*u[2];

with:

psi := piecewise(u2 <> 0, sin((1/2)*T*u[2])/u[2], (1/2)*T); alpha := theta[0]+(1/2)*T*u[2];

and u1 and u2 some functions of x1(kT) and x2(kT).

I tried to use the rsolve command but didn't work.

Can you help me, please? Is there some way to solve this?

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