GLOBAL APPLICABILITY OF THE SYMPLECTIC INTEGRATOR METHOD OF HAMILTONIAN-SYSTEMS

The global validity of the symplectic integration method or mapping ap proach is discussed in this paper. The results show that in the region s of phase space where symplectic integration schemes and the Hamilton ian system possess the same topology, they are effective; but in the r egions where the schemes possess some other fixed points than those of the Hamiltonian system, their topologies are different from that of t he actual system, thus the symplectic integration method or mapping ap proach is not effective globally.