A parallel algorithm for approximating one dimensional unstable manifold of discrete dynamical systems
This paper presents a parallel algorithm for computing one dimensional unstable manifold of a hyperbolic fixed point of discrete dynamical system. It is pointed out that parallel computing can be realized by subdividing the unstable manifold into mutually independent subsections. In each subsection, the one dimensional unstable manifold is grown by forward iteration. Curvature constraint and distance control technique are applied to ensure the accuracy of the algorithm. An easy-to-implement recursive program is proposed for the interpolation of points. The simulation result shows that parallel computation is very accurate as well as efficient.
Huimin Li Yangyu Fan Jing Zhang
School of Electronics and Information Northwestern Polytechnical University Xian, China
国际会议
2010国际混沌、分形理论与应用研讨会(IWCFTA 2010)
昆明
英文
288-292
2010-10-29（万方平台首次上网日期，不代表论文的发表时间）