具有限时滞的扰动Van der pol方程的拟周期解  

Quasi-Periodic Solution of Van der pol Equation with Limited Time Delay

作　　者：殷红燕[1] 陈作清[1] 

机构地区：[1]中南民族大学计算机科学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2008年第4期104-106,共3页Journal of South-Central University for Nationalities：Natural Science Edition

摘　　要：使用Hassard的规范形方法,研究了具有限时滞的扰动Van der pol方程在扰动频率与Hopf分支固有频率为二阶次调和共振的情形下解的存在性,表明了在某些参数区域中,系统存在次调和解和拟周期解.In this paper, the existence of solution on Van der pol equation with limited time delay is studied by normal forms. In particular, the existence of solution in the case of two order subharmonic resonance is discussed in detail. It is shown that in some parameter regions the systems exhibit subharmonic solution and quasi-periodic solution.

关 键 词：VAN der POL方程 规范形 拟周期解 

分 类 号：O175[理学—数学]