A MAPLE PACKAGE OF AUTOMATED DERIVATION OF HOMOTOPY ANALYSIS SOLUTION FOR PERIODIC NONLINEAR OSCILLATIONS

作     者：Yinping LIU Shijun LIAO Zhibin LI 

作者机构：Department of Computer Science and TechnologyEast China Normal University State Key Lab of Ocean EngineeringSchool of Naval ArchitectureOcean and Civil EngineeringDepartment of MathematicsShanghai Jiaotong University Department of Computer ScienceEast China Normal University 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2012年第25卷第3期

页      面：594-616页

核心收录：

学科分类：07[理学] 08[工学] 070104[理学-应用数学] 080101[工学-一般力学与力学基础] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Science Foundation of China under Grant No.11071274 

主　　题：Automated derivation homotopy analysis method homotopy Pade technique nonlinear oscillation Wu's elimination method. 

摘      要：Based on the homotopy analysis method, a general analytic technique for strongly nonlinear problems, a Maple package of automated derivation （ADHO） for periodic nonlinear oscillation systems is presented. This Maple package is valid for periodic oscillation systems in rather general, and can automatically deliver the accurate approximations of the frequency co and the mean of motion δof a nonlinear periodic oscillator. Based on the homotopy analysis method which is valid even for highly nonlinear problems, this Maple package can give accurate approximate expressions even for nonlinear oscillation systems with strong nonlinearity. Besides, the package is user-friendly： One just needs to input a governing equation and initial conditions, and then gets satisfied analytic approximations in few seconds. Several different types of examples are given in this paper to illustrate the validity of this Maple package. Such kind of package provides us a helpful and easy-to-use tool in science and engineering to analyze periodic of this Maple package from the is published publicly. nonlinear oscillations. And it is free address http：//*** to download the electronic version ***/*** once the paper