Poincaré-Cartan Integral Invariants of Birkhoffian Systems

GUO Yong-xin; SHANG Mei; LUO Shao-kai

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GUO Yong-xin, SHANG Mei, LUO Shao-kai. Poincaré-Cartan Integral Invariants of Birkhoffian Systems[J]. Applied Mathematics and Mechanics, 2003, 24(1): 62-66.

Citation:

GUO Yong-xin, SHANG Mei, LUO Shao-kai. Poincaré-Cartan Integral Invariants of Birkhoffian Systems[J]. Applied Mathematics and Mechanics, 2003, 24(1): 62-66.

Citation:

GUO Yong-xin, SHANG Mei, LUO Shao-kai. Poincaré-Cartan Integral Invariants of Birkhoffian Systems[J]. Applied Mathematics and Mechanics, 2003, 24(1): 62-66.

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Poincaré-Cartan Integral Invariants of Birkhoffian Systems

1.
Department of Physics, Liaoning University, Shenyang 110036, China;
2.
Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China;
3.
Institute of Mathematical Mechanics and Mathematical Physics, Changsha University, Changsha 41

Received Date: 2001-02-10
Rev Recd Date: 2002-07-30
Publish Date: 2003-01-15

Abstract

Abstract

Based on modern differential geometry, the symplectic structure of a Birkhoffian system which is an extension of conservative and nonconservative systems is analyzed. An integral invariant of Poincar -Cartan's type is constructed for Birkhoffian systems. Finally, one-dimensional damped vibration is taken as an illustrative example and an integral invariant of Poincar's type is found.
- Birkhoffian systems,
- symplectic structure,
- self-adjiontness,
- Poincar-Cartan integral invariants

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References(10)

References

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