文献类型：期刊文献

中文题名：基于自适应因子轨道延拓法的不变流形计算

英文题名：Computation of invariant manifolds with self-adaptive parameter and trajectories continuation method

作者：贾蒙[1,2];樊养余[1];李慧敏[1]

第一作者：贾蒙

通讯作者：Jia, M[1]

机构：[1]西北工业大学电子信息学院;[2]新乡学院机电学院

第一机构：西北工业大学电子信息学院,西安710072

通讯机构：[1]corresponding author), Northwestern Polytech Univ, Dept Elect & Informat, Xian 710072, Peoples R China.

年份：2010

期号：11

起止页码：7686-7692

中文期刊名：物理学报

外文期刊名：Acta Physica Sinica

收录：CSTPCD;;Scopus;WOS:【SCI-EXPANDED(收录号:WOS:000284659900027)】；北大核心:【北大核心2008】；CSCD:【CSCD2011_2012】；

基金：Project supported by the National Nature Science Foundation of China (Grant No. 60872159).

语种：中文

中文关键词：自适应因子;轨道延拓;流形;非线性系统

外文关键词：self-adaptive parameter; trajectories continuation; manifolds; non-liner system

摘要：提出自适应因子和轨道延拓相结合的二维流形计算方法,利用以平衡点为中心的椭圆对局域流形的近似,通过轨道的等距延拓和椭圆初始点的自适应调节,在精度要求下自适应的添加轨道,完成二维双曲不变流形的计算.此方法比"轨道弧长法"精度高,包含更多细节信息;同时要比"盒子细分法"更能反映流形的延拓趋势.
Most work on manifold study focuses on two-dimensional manifolds and there have been proposed some good computing methods.However,the computation of two-dimensional manifold is still a hot research field.In this paper the two-dimensional manifold of hyperbolic equilibria for vector fields is computed by combining self-adaptive parameter with trajectories continuation,approximating the local manifold with an ellipse around the equilibria,extending the trajectory with equal distance,and adjusting the trajectory with self-adaptive parameter.This method is more accurate than the ＂trajectories and arc-length method＂,and better shows the trend of the manifolds than the＂box covering method＂.