SYMPLECTIC STRUCTURE OF POISSON SYSTEM
When the Poisson matrix of Poisson system is non-constant, classical symplectic methods, such as symplectic Runge-Kutta method, generating function method, cannot preserve the Poisson structure. The non-constant Poisson structure was transformed into the symplectic structure by the nonlinear transfo...
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Published in | Applied mathematics and mechanics Vol. 26; no. 11; pp. 1484 - 1490 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Institute of Applied Physics and Computational Mathematics, Beijing 100088, P.R.China%Institute of High Energy Physics, Chinese Academy of Sciences,Beijing 100039, P.R.China%Institute of Software, Chinese Academy of Sciences,Beijing 100080, P.R.China%Institute of Computational Mathematics, Chinese Academy of Sciences,Beijing 100080, P.R.China
01.11.2005
Institute of High Energy Physics, Chinese Academy of Sciences,Beijing 100039, P.R.China |
Subjects | |
Online Access | Get full text |
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Summary: | When the Poisson matrix of Poisson system is non-constant, classical symplectic methods, such as symplectic Runge-Kutta method, generating function method, cannot preserve the Poisson structure. The non-constant Poisson structure was transformed into the symplectic structure by the nonlinear transform. Arbitrary order symplectic method was applied to the transformed Poisson system. The Euler equation of the free rigid body problem was transformed into the symplectic structure and computed by the mid-point scheme. Numerical results show the effectiveness of the nonlinear transform. |
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Bibliography: | Poisson system nonlinear transformation Poisson system; nonlinear transformation ; symplectic method; rigid body problem symplectic method 31-1650/O1 rigid body problem O241.8 |
ISSN: | 0253-4827 1573-2754 |
DOI: | 10.1007/BF03246255 |