Nielsen方程的两类广义梯度表示  

Two Kinds of Gradient Representations for Nielsen Equations

作　　者：梅凤翔[1] 吴惠彬[2] 李彦敏[3] 

机构地区：[1]北京理工大学宇航学院,北京100081 [2]北京理工大学数学学院,北京100081 [3]商丘师范学院物理与电气信息学院,商丘476000

出　　处：《北京大学学报（自然科学版）》2016年第4期588-591,共4页Acta Scientiarum Naturalium Universitatis Pekinensis

基　　金：国家自然科学基金(10932002;11272050;11372169)资助

摘　　要：提出两类广义梯度系统,并研究其性质。给出Nielsen方程成为广义梯度系统的条件。利用广义梯度系统的性质,研究Nielsen方程解的稳定性。举例说明结果的应用。The two kinds of generalized gradient systems are proposed and the characteristics of the two systems are studied. The conditions under which the Nielsen equations can be considered as one of the two generalized gradient systems are obtained. The characteristics of the generalized gradient systems can be used to study the stability of solution of the Nielsen equations. Some examples are given to illustrate the application of the results.

关 键 词：NIELSEN方程 广义梯度系统 稳定性 

分 类 号：O316[理学—一般力学与力学基础]