Integrating factors and conservation theorems for Hamilton‘s canonical equations of moti

Integrating factors and conservation theorems for Hamilton‘s canonical equations of motion of variable mass nonholonmic nonconservative

dynamical systems

李仁杰; 刘洋; 等

【期刊名称】《《中国物理：英文版》》 【年(卷),期】2002(011)008

【摘要】We present a general approach to the construction of conservation laws for variable mass noholonmic nonconservative systems.First,we give the definition of integrating factors,and we study in detail the necessary conditions for the existence of the conserved quantities,Then,we establish the conservatioin theorem and its inverse theorem for Hamilton's canonical equations of motion of variable mass nonholonomic nonocnservative dynamical systems.Finally,we give an example to illustrate the application of the results. 【总页数】5页(P.760-764)

【关键词】哈密顿正则方程; 可变质量; 非简谐动力学系统 【作者】李仁杰; 刘洋; 等

【作者单位】EegineeringCollegeofNortheastAgricultrueUniversity Harbin150003

CivilEngineeringCollgegofHarbinEngineeringUniversity China

China;

Harbin150001