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.
出处
《商丘师范学院学报》
CAS
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)
关键词
弱非完整系统
梯度
分数维动力学
weakly nonholonomic system
gradient
fractional dynamics
作者简介
梅凤翔（1938-），男，辽宁沈阳人，北京理工大学教授，博士生导师，主要从事分析力学研究．
