Symplectic Structure of Poisson System

SUN Jian-qiang; MA Zhong-qi; TIAN Yi-min; QIN Meng-zhao

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(11): 1345-1350

SUN Jian-qiang, MA Zhong-qi, TIAN Yi-min, QIN Meng-zhao. Symplectic Structure of Poisson System[J]. Applied Mathematics and Mechanics, 2005, 26(11): 1345-1350.

Citation:

SUN Jian-qiang, MA Zhong-qi, TIAN Yi-min, QIN Meng-zhao. Symplectic Structure of Poisson System[J]. Applied Mathematics and Mechanics, 2005, 26(11): 1345-1350.

Citation:

SUN Jian-qiang, MA Zhong-qi, TIAN Yi-min, QIN Meng-zhao. Symplectic Structure of Poisson System[J]. Applied Mathematics and Mechanics, 2005, 26(11): 1345-1350.

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Symplectic Structure of Poisson System

1.
Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100039, P. R. China;

Received Date: 2004-07-05
Rev Recd Date: 2005-06-16
Publish Date: 2005-11-15

Abstract

Abstract

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.
- Poisson system,
- nonlinear transformation,
- symplectic method,
- rigid body problem

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References(7)

References

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