Conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms

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• 作者：Fang Zhang ; Wei Li ; Yaoyu Zhang ; Xichang Xue ; Liqun Jia
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：84
• 期：4
• 页码：1909-1913
• 全文大小：375 KB
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X
• 卷排序：84

文摘

Conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms are studied. Under the infinitesimal transformations of group, the conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms are studied. A necessary and sufficient condition of which the conformal invariance for the system is also Mei symmetry is present. Then the expression of Mei conserved quantity for the system is given. Finally, an example is given to illustrate the application of the result.KeywordsAdditional termsGeneralized Hamilton systemConformal invarianceMei conserved quantity