A new type of conserved quantity of Mei symmetry for the motion of mechanico–electrical coupling dynamical systems

doi:10.1088/1674-1056/20/4/040201

Abstract We obtain a new type of conserved quantity of Mei symmetry for the motion of mechanico-electrical coupling dynamical systems under the infinitesimal transformations. A criterion of Mei symmetry for the mechanico-electrical coupling dynamical systems is given. Simultaneously, the condition of existence of the new conserved quantity of Mei symmetry for mechanico-electrical coupling dynamical systems is obtained. Finally, an example is given to illustrate the application of the results.

Keywords: new conserved quantity Mei symmetry mechanico--electrical coupling systems

Received: 27 September 2010
Revised: 29 December 2010
Accepted manuscript online:

PACS:	02.20.-a	(Group theory)
	02.30.Ks	(Delay and functional equations)
	04.50.+h

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11072218).

Cite this article:

Zhao Li(赵丽), Fu Jing-Li(傅景礼),and Chen Ben-Yong(陈本永) A new type of conserved quantity of Mei symmetry for the motion of mechanico–electrical coupling dynamical systems 2011 Chin. Phys. B 20 040201

[1]	Lutzky M 1979 J. Phys. A: Math. Gen. 12 973
[2]	Lutzky M 1979 Phys. Lett. A 72 86
[3]	Levi D and Winternitz P 2002 J. Phys. A: Math. Gen. 35 2249
[4]	Olive P 1986 Applications of Lie Groups to Differential Equations (New York: Spriner)
[5]	Cimpoiasu R and Constantinesu R 2007 Nonlinear Analysis 68 2261
[6]	Fang J H 2010 Chin. Phys. B 19 040301
[7]	Levi D, Tremblay S and Winternitz P 2000 J. Phys. A: Math. Gen. 33 8507
[8]	Noether A E 1918 Nachr. Akad. Wiss. Gottingen Math. Phys. KI II 235
[9]	Fang J H, Liao Y P, Ding L and Wang P 2006 Chin. Phys. 15 2792
[10]	Fu J L, Chen B Y and Xie F P 2008 Chin. Phys. B 17 4354
[11]	Zhang H B 2002 Chin. Phys. 11 1
[12]	Lin P, Fang J H and Pang T 2008 Chin. Phys. B 17 4361
[13]	Zhang Y 2006 Chin. Phys. 15 1935
[14]	Guo Y X, Jiang L Y and Yu Y 2001 Chin. Phys. 10 181
[15]	Chen X W, Liu C M and Li Y B 2006 Chin. Phys. 15 470
[16]	Fu J L and Chen L Q 2004 Phys. Lett. A 331 138
[17]	Fu J L, Chen L Q and Chen B Y 2010 Sci. Chin. Phys. Mech. & Astron. 53 1687
[18]	Fu J L, Fu H and Liu R W 2010 Phys. Lett. A 374 1812
[19]	Fu J L, Chen L Q, Jimenez S and Tang Y F 2006 Phys. Lett. A 358 5
[21]	Fu J L, Chen B Y, Fu H, Zhao G L, Liu R W and Zhu Z Y 2010 it Sci. Chin. Phys. Mech. & Astron. 2010 53 1
[22]	Li Y C, Xia L L, Zhao W, Hou Q B, Wang J and Jing H X 2007 it Acta Phys. Sin. 56 5037 (in Chinese)
[23]	Mei F X 2000 J. Beijing Inst. Technol. 9 120
[24]	Liu H J, Fu J L and Tang Y F 2007 Chin. Phys. 16 559
[25]	Zheng S W, Jia L Q and Yu H S 2006 Chin. Phys. 15 1399
[26]	Fang J H, Ding N and Wang P 2007 Chin. Phys. 16 887
[27]	Jia L Q, Xie J F and Zheng S W 2008 Chin. Phys. B 17 17
[28]	Fang J H, Liu Y K and Zhang X N 2008 Chin. Phys. B 17 1962
[29]	Fang J H, Zhang M J and Lu K 2009 Chin. Phys. Lett. 26 0202

[1]	Mei symmetry and conservation laws of discrete nonholonomic dynamical systems with regular and irregular lattices Zhao Gang-Ling (赵纲领), Chen Li-Qun (陈立群), Fu Jing-Li (傅景礼), Hong Fang-Yu (洪方昱). Chin. Phys. B, 2013, 22(3): 030201.
[2]	A type of conserved quantity of Mei symmetry of Nielsen equations for a holonomic system Cui Jin-Chao (崔金超), Han Yue-Lin (韩月林), Jia Li-Qun (贾利群 ). Chin. Phys. B, 2012, 21(8): 080201.
[3]	Mei symmetry and conserved quantities in Kirchhoff thin elastic rod statics Wang Peng(王鹏), Xue Yun(薛纭), and Liu Yu-Lu(刘宇陆) . Chin. Phys. B, 2012, 21(7): 070203.
[4]	Noether–Mei symmetry of discrete mechanico-electrical system Zhang Wei-Wei (张伟伟), Fang Jian-Hui (方建会 ). Chin. Phys. B, 2012, 21(11): 110201.
[5]	Lie–Mei symmetry and conserved quantities of the Rosenberg problem Liu Xiao-Wei(刘晓巍) and Li Yuan-Cheng(李元成). Chin. Phys. B, 2011, 20(7): 070204.
[6]	Perturbation to Mei symmetry and Mei adiabatic invariants for discrete generalized Birkhoffian system Zhang Ke-Jun(张克军), Fang Jian-Hui(方建会), and Li Yan(李燕). Chin. Phys. B, 2011, 20(5): 054501.
[7]	Mei symmetries and Mei conserved quantities for higher-order nonholonomic constraint systems Jiang Wen-An(姜文安), Li Zhuang-Jun(李状君), and Luo Shao-Kai(罗绍凯). Chin. Phys. B, 2011, 20(3): 030202.
[8]	Lie symmetry and Mei conservation law of continuum system Shi Shen-Yang(施沈阳) and Fu Jing-Li(傅景礼) . Chin. Phys. B, 2011, 20(2): 021101.
[9]	Conformal invariance and conserved quantities of Birkhoff systems under second-class Mei symmetry Luo Yi-Ping(罗一平) and Fu Jin-Li(傅景礼). Chin. Phys. B, 2011, 20(2): 021102.
[10]	Conformal invariance and conserved quantities of Appell systems under second-class Mei symmetry Luo Yi-Ping(罗一平) and Fu Jing-Li(傅景礼). Chin. Phys. B, 2010, 19(9): 090304.
[11]	A new type of conserved quantity of Lie symmetry for the Lagrange system Fang Jian-Hui(方建会). Chin. Phys. B, 2010, 19(4): 040301.
[12]	Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system Cui Jin-Chao(崔金超), Zhang Yao-Yu(张耀宇), Yang Xin-Fang(杨新芳), and Jia Li-Qun(贾利群). Chin. Phys. B, 2010, 19(3): 030304.
[13]	Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev's type with variable mass Yang Xin-Fang(杨新芳), Jia Li-Qun(贾利群), Cui Jin-Chao(崔金超), and Luo Shao-Kai(罗绍凯). Chin. Phys. B, 2010, 19(3): 030305.
[14]	Symmetry and conserved quantities of discrete generalized Birkhoffian system Zhang Ke-Jun(张克军), Fang Jian-Hui(方建会), and Li Yan(李燕). Chin. Phys. B, 2010, 19(12): 124601.
[15]	A type of new conserved quantity deduced from Mei symmetry for Appell equations in a holonomic system with unilateral constraints Jia Li-Qun(贾利群), Xie Yin-Li(解银丽), Zhang Yao-Yu(张耀宇), and Yang Xin-Fang(杨新芳). Chin. Phys. B, 2010, 19(11): 110301.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

A new type of conserved quantity of Mei symmetry for the motion of mechanico–electrical coupling dynamical systems

Cite this article:

Online attention