Global applicability of the symplectic integrator method of hamiltonian systems |
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| Authors: | Yi-Sui Sun Ji-Lin Zhou |
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| Institution: | (1) Department of Astronomy, Nanjing University, 210093 Nanjing, P.R. China |
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| Abstract: | The global validity of the symplectic integration method or mapping approach is discussed in this paper. The results show that in the regions of phase space where symplectic integration schemes and the Hamiltonian system possess the same topology, they are effective; but in the regions where the schemes possess some other fixed points than those of the Hamiltonian system, their topologies are different from that of the actual system, thus the symplectic integration method or mapping approach is not effective globally.Supported by the National Natural Science Foundation of China and a grant from the Ph.D. Foundation. |
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| Keywords: | Symplectic integration method mapping approach numerical stability topological structure |
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