用同伦算法求解带阻尼项的n维Liénard型方程  

Homotopy Method for Solving the Periodic Solution of Liénard Type Equation

作　　者：许敏[1] 周伟灿[1] 

机构地区：[1]南京信息工程大学数理学院,江苏南京210044

出　　处：《南京气象学院学报》2007年第2期284-288,共5页Journal of Nanjing Institute of Meteorology

基　　金：江苏省教育厅自然科学基金资助项目(02KSB170002)

摘　　要：Liénard型方程在限定条件下可用同胚理论证明其存在唯一周期解。在同胚理论的基础上,验证了可用同伦算法求解方程边值问题的周期解,给出了求取周期解的具体算法,并给出实例说明此算法可行。Homeomorphism theory can be used to prove that the Liénard type equation has only one periodic solution in some restricted condition. Based on this premise, this paper discusses the feability of using the homotopy method to solve the periodic solution of the boundary value problem of the lienard type equation. At last the concrete calculation methodology is given to solve the periodic solution. The given example shows that the calculation is feasible.

关 键 词：LIÉNARD型方程 周期解 同胚 同伦 

分 类 号：O175.29[理学—数学]