How can we determine the solution of the  system

Udot1 := -beta*V;
Vdot1 := beta*U;
Pdot1 := Q;
Qdot1 := 0;

and with initial conditions 

 U(0) := U[0];
V(0) := V[0];
P(0) := P[0];
Q(0) := Q[0];

Ode1.mw

In this maple file i try to find normal form and limit cycle of this jerk system but l don't know find like a paper did?

av.mw