Michelson系统异宿轨道的同伦分析方法
Homotopy Analysis Method for Heterclinic Orbit of Michelson System
DOI: 10.12677/DSC.2014.33005, PDF,  被引量    国家自然科学基金支持
作者: 刘万凯, 钱有华：浙江师范大学数理信息学院，金华
关键词: 同伦分析方法；异宿轨道；收敛定理；Homotopy Analysis Method； Heterclinic Orbit； Convergence Theorems
摘要: 本文用同伦分析方法给出了Michelson系统异宿轨道的解析近似，并对该方法所得到的近似解析解与精确解之间进行了比较。结果表明，对于异宿轨道的近似解析解，同伦分析方法是有效且实用的。此外，还给出了本方法中收敛定理的证明。
Abstract: In this paper, we use the homotopy analysis method (HAM) to obtain the analytic approximation of heterclinic orbit in Michelson system. Comparisons are made between the results of the proposed method and exact solutions. The results show that the HAM is an effective and practical technique of analytic approximation for the heterclinic orbit. The proof of convergence theorems for the present method is elucidated as well.
文章引用：刘万凯, 钱有华. Michelson系统异宿轨道的同伦分析方法[J]. 动力系统与控制, 2014, 3(3): 29-37. https://dx.doi.org/10.12677/DSC.2014.33005

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