中国物理B ›› 2011, Vol. 20 ›› Issue (4): 40201-040201.doi: 10.1088/1674-1056/20/4/040201

• GENERAL •    下一篇

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

赵丽, 傅景礼, 陈本永   

  1. Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China
  • 收稿日期:2010-09-27 修回日期:2010-12-29 出版日期:2011-04-15 发布日期:2011-04-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11072218).

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

Zhao Li(赵丽), Fu Jing-Li(傅景礼),and Chen Ben-Yong(陈本永)   

  1. Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China
  • Received:2010-09-27 Revised:2010-12-29 Online:2011-04-15 Published:2011-04-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11072218).

摘要: 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.

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.

Key words: new conserved quantity, Mei symmetry, mechanico--electrical coupling systems

中图分类号:  (Group theory)

  • 02.20.-a
02.30.Ks (Delay and functional equations)