摘要
主要讨论由粘弹性柱所定义的动力系统的动力学行为．首先构造了动力系统的Ｌｙａ－ｐｕｎｏｖ函数，利用Ｑ阶单步方法将原系统化为离散动力系统，证明了离散动力系统也拥有一个吸引子Λ（ｈ），并且在ｈ→０＋时，Λ（ｈ）→Λ．
The dynamic properties of the dynamic system defined by the viscoelastic columns are discussed. First, the Lyapunov function of the dynamical system is constructed by use of the Q order single step method, the original system is reduced to the discreted dynamic system. Then the discreted dynamic system is proved to owe an attractor Λ(h) and Λ(h)→Λ as h→0 +. Finally by using the results obtained, the control of stability of the viscoelastic columns is given.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
1997年第1期28-32,共5页
Journal of Lanzhou University(Natural Sciences)
基金
国家自然科学基金
甘肃省自然科学基金
