非自治Birkhoff系统的广义斜梯度表示

A generalized skew-gradient representation for non autonomous Birkhoffian system

摘要: 给出广义斜梯度系统的微分方程并研究其性质.得到非自治Birkhoff系统可以成为广义斜梯度系统的条件.利用广义斜梯度系统的性质来研究非自治Birkhoff系统的稳定性.举例说明结果的应用.

Abstract: A generalized skew-gradient system has been proposed and the characteristic of the system has been studied.The condition under which a non autonomous Birkhoffian system can be considered as a generalized skew-gradient system has been obtained.The characteristic of the generalized skew-gradient system can be used to study the stability of the Birkhoffian system.Some examples have been given to illustrate the application of the result.