I solved the canonical equations as piecewise functions and I wrote the Hamiltonian using these piecewise functions. Now the Hamiltonian is function of time (tau). I can not plot this Hamiltonian. Where is my mistake, please? Below is the Maple program. I mention that I tried to simplify the Hamiltonian, but without succes. Thank you for helping me.

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I have a nonlinear algebraic system with x ,y unknowns and beta parameter (0<beta<1); I want to plot in 3d the triplets (x,y,beta), where x and y are the solution of system for ten different values of beta.

For now I am able only to solve the system with fsolve, but I don't want to copy the solutions with copy and paste, because in the future I have to give to beta much more values than 10. Can anyone help me, please? This is the program: