Poincaré-cartan integral invariants of Birkhoffian systems

Springer Science and Business Media LLC - Tập 24 - Trang 68-72 - 2003
Guo Yong-xin1, Shang Mei2, Luo Shao-kai3
1Department of Physics, Liaoning University, Shenyang, China
2Department of Applied Mechanics, Beijing Institute of Technology, Beijing, China
3Institute of Mathematical Mechanics and Mathematical Physics, Changsha University, Changsha, China

Tóm tắt

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 Poincaré-Cartan's type is constructed for Birkhoffian systems. Finally, one-dimensional damped vibration is taken as an illustrative example and an integral invariant of Poincaré's type is found.

Tài liệu tham khảo

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Springer Science and Business Media LLC

Tập 24

68-72

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