Duffing振子系统周期解的唯一性与精确周期信号的获取方法  

Acquisition method of precise periodic signal and uniqueness of periodic solutions of Duffing oscillator system

作　　者：王坤[1] 关新平[1] 丁喜峰[1] 乔杰敏[1] 

机构地区：[1]燕山大学理学院,秦皇岛066004

出　　处：《物理学报》2010年第10期6859-6863,共5页Acta Physica Sinica

基　　金：国家杰出青年科学基金(批准号:60525303)资助的课题~~

摘　　要：研究Duffing振子系统的周期解的唯一性与精确周期信号的获取方法.应用定性分析方法,获得了一类Duffing振子系统具有唯一周期解的必要条件,同时也得到了一类更广泛的非线性周期系统的周期解的唯一性.在一定条件下,给出了Duffing振子系统精确周期信号的获取方法。The acquisition method of precise periodic signal and uniqueness of periodic solutions of Duffing oscillator system is investigated.The necessary condition of uniqueness of periodic solutions of a kind of Duffing oscillator system is presented and the uniqueness of periodic solutions of some extensive nonlinear periodic system is simultaneously obtained by using qualitative analysis method.The acquisition method of precise periodic signal Duffing oscillator system is given under certain conditions.

关 键 词：Duffing振子系统 周期解的唯一性 精确周期信号的获取方法 

分 类 号：O175[理学—数学] O321[理学—基础数学]