Conserved quantity and stability of Birkhoffian system

Xu Zhi-Xin

doi:10.7498/aps.54.4971

Abstract
It is showed that Stability of Birkhoffian system can be determined by its conserved quantities. If a conserved quantity or a combination of some conserved quantities became a Liapunov function,then it can be used to study the stability of equilibrium and the stability of motion of the system.

Keywords:
Birkhoffian system /

conserved quantity /

Liapunov stability
Authors and contacts
Xu Zhi-Xin

1.
江苏科技大学船舶与海洋工程学院，镇江 212003
References

Cited By

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[2]	Zhang Bin, Fang Jian-Hui, Zhang Ke-Jun. Symmetry and conserved quantity of Lagrangians for nonholonomic variable mass system. Acta Physica Sinica, 2012, 61(2): 021101. doi: 10.7498/aps.61.021101
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[5]	Ding Guang-Tao. Hojman method for construction of Birkhoffian representation and the Birkhoff symmetry. Acta Physica Sinica, 2010, 59(6): 3643-3647. doi: 10.7498/aps.59.3643
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[8]	Cai Jian-Le, Mei Feng-Xiang. Conformal invariance and conserved quantity of Lagrange systems under Lie point transformation. Acta Physica Sinica, 2008, 57(9): 5369-5373. doi: 10.7498/aps.57.5369
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[10]	Zheng Shi-Wang, Jia Li-Qun. Mei symmetry and conserved quantity of Tzénoff equations for nonholonomic systems. Acta Physica Sinica, 2007, 56(2): 661-665. doi: 10.7498/aps.56.661
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[15]	Zhang Yi, Fan Cun-Xin, Ge Wei-Kuan. A new type of conserved quantities for Birkhoffian systems. Acta Physica Sinica, 2004, 53(11): 3644-3647. doi: 10.7498/aps.53.3644*
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Vol. 54, Issue 10 - 2005-05-20

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