中山大学学报（自然科学版）2016，Vol.55Issue(6)：79-85,7.DOI:10.13471/j.cnki.acta.snus.2016.06.012
基于Caputo导数下的含时滞的Hamilton系统的分数阶Noether理论
Fractional Noether theorems for Hamilton system with time delay based on Caputo dervitaves
摘要
Abstract
The fractional Noether symmetries and fractional conserved quantities for Hamilton system with time delay based on Caputo derivatives are discussed.The fractional Hamilton canonical equations of the corresconding system with time delay are established base upon the fractional Hamilton principle of the Hamilton systems with time delay.Then,the fractional Noether symmetries of the Hamilton system with time delay are obtained,which based on the invariance of the fractional Hamilton action with time delay under the infinitesimal transformations of group.Finally,fractional Noether theorems with time delay of the Hamilton system are established.At the end,one example is given to illustrate the application of the results.关键词
时滞/Hamilton系统/Caputo导数/Noether对称性/守恒量Key words
time delay/Hamilton system/Caputo derivatives/Noether symmetry/conserved quantity分类
力学引用本文复制引用
丁金凤,金世欣,张毅..基于Caputo导数下的含时滞的Hamilton系统的分数阶Noether理论[J].中山大学学报（自然科学版）,2016,55(6):79-85,7.基金项目
国家自然科学基金资助项目 （）
