文献类型：期刊文献

中文题名：映射动力系统一维流形并行计算方法

英文题名：A parallel algorithm for approximating 1-D manifold of maps

作者：贾蒙[1]

第一作者：贾蒙

通讯作者：Jia, M.

机构：[1]新乡学院机电工程学院

第一机构：新乡学院机电工程学院

通讯机构：[1]Department of Electrical Engineering, Xinxiang College, Xinxiang 453003, China

年份：2014

卷号：33

期号：9

起止页码：40-47

中文期刊名：振动与冲击

外文期刊名：Journal of Vibration and Shock

收录：CSTPCD;;EI(收录号：20142417824817);Scopus(收录号：2-s2.0-84902082233);北大核心:【北大核心2011】；CSCD:【CSCD2013_2014】；

语种：中文

中文关键词：离散动力系统;不变流形;并行计算;Hénon映射

外文关键词：discretized dynamical system;invariant manifold;parallel algorithm;H＆#233;non map

摘要：为了寻找一种映射系统流形计算的快速算法,提出一种计算映射动力系统双曲不动点一维流形的并行快速算法。该算法首先以区域迭代的方法为基础,对局部流形进行分割,然后运用了曲率约束和距离控制条件进行插值运算,在单个区间上独立计算映射值,独立检查精度,真正实现计算的并行化控制流形的增长;其次从理论上证明了流形并行计算的可能性,并给出了并行计算的实现方法;最后的实验数据和仿真结果表明:该方法既保证计算的速度又提高了计算的精度。
A fast parallel algorithm for computing one-dimensional manifold of a hyperbolic fixed point of a map was presented.With the new algorithm,field iteration was taken as a basic idea.The local manifold was subdivided,the curvature constraint and distance control condition were used to implement interation computation. Independently computing map values and checking accuracy were done in each interval to realize parallel computations and control the growth of manifold.The feasibility of manifold parallel computation was proved theoretically.Simulations and test data indicated that the proposed algorithm has a faster computing sped and a better accuracy.