弱非完整系统的梯度表示和分数维梯度表示  

A gradient representation and a fractional gradient representation of weakly nonholonomic system

作　　者：梅凤翔[1] 李彦敏[2] 

机构地区：[1]北京理工大学力学系,北京100081 [2]商丘师范学院物理与信息工程系,河南商丘476000

出　　处：《商丘师范学院学报》2011年第9期1-3,共3页Journal of Shangqiu Normal University

基　　金：国家自然科学基金重点资助项目(10932002)和国家自然科学基金资助项目(10972127)

摘　　要：研究弱非完整系统的梯度表示和分数维梯度表示.建立系统运动微分方程并在正则坐标下表出.给出系统成为梯度系统以及成为分数维梯度系统的条件,并举例说明结果的应用.A gradient representation and a fractional gradient representation of a weakly nonholonomic system are studied.The differential equations of motion of the system are expressed in the canonical coordinates.A condition under which the system can be considered as a gradient system is given.A condition under which the system can be considered as a fractional gradient system is obtained.An example is given to illustrate the application of the result.

关 键 词：弱非完整系统 梯度 分数维动力学 

分 类 号：O320[理学—一般力学与力学基础]