Integrating factors and conserved quantity of a class of nonholonomic systems based on El-Nabulsi model
YANG Lixia1， ZHANG Yi2
1.College of Mathematics and Physics， Suzhou University of Science and Technology， Suzhou， Jiangsu 215009， China；2.College of Civil Engineering， Suzhou University of Science and Technology， Suzhou， Jiangsu 215011， China
Abstract：The conserved quantity of a class of nonholonomic systems was studied by integrating factor method. Under the El-Nabulsi model that was based on a fractional integral extended by periodic laws， the differential equations of motion with partial canonical form for a class of nonholonomic system was given. The integrating factor for the canonical equation of the system was defined. The conserved quantity of the system was constructed by integrating factor method， the conservation theorem and inverse theorem of the system were established， and the generalized Killing equation of integrating factor was given. Finally， an example was given to illustrate the application of the results.
杨丽霞,张 毅. 基于El-Nabulsi模型的一类非完整系统的积分因子与守恒量[J]. 华中师范大学学报(自然科学版), 2019, 53(1): 15-19.
YANG Lixia,ZHANG Yi. Integrating factors and conserved quantity of a class of nonholonomic systems based on El-Nabulsi model. journal1, 2019, 53(1): 15-19.
2019, Vol. 53 
