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Abstract
In this article，Lie symmetry of Nambu mechanical systems is discussed and its determining equations are established. Consequently，the structure equation and the associated conserved quantities are obtained. The inverse problem of Lie symmetries of the systems is also studied. As an example，Euler equations are used to illustrate the application of the main results.

Keywords:
Nambu mechanical systems/

Lie symmetry/

conserved quantities
Authors and contacts
Zhang Kai¹,

Wang Ce²,

Zhou Li-Bin²
References

Cited By

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[2]	Lou Zhi-Mei.The study of conserved quantities and symmetries for two-dimensional isotropic harmonic charged oscillator moving in homogeneous magnetic field. Acta Physica Sinica, 2013, 62(22): 220201.doi:10.7498/aps.62.220201
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[4]	Xie Yin-Li, Jia Li-Qun, Yang Xin-Fang.Lie symmetry and Hojman conserved quantity of Nielsen equation in a dynamical system of the relative motion. Acta Physica Sinica, 2011, 60(3): 030201.doi:10.7498/aps.60.030201
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[19]	MEI FENG-XIANG, SHANG MEI.LIE SYMMETRIES AND CONSERVED QUANTITIES OF FIRST ORDER LAGRANGE SYSTEMS. Acta Physica Sinica, 2000, 49(10): 1901-1903.doi:10.7498/aps.49.1901
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Vol. 57, Issue 11 - 2008-06-05

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