文献类型：会议论文

英文题名：Computation of 2D manifold based on generalized foliation condition

作者：Jia, Meng[1]; Ru, Yi[2]; Xi, JunJie[2]

第一作者：贾蒙

通讯作者：Jia, M.

机构：[1] Department of Electrical Engineering, Xinxiang University, Xinxiang 453000, China; [2] Department of Electrical Engineering, ZhengZhou Institute of Aeronautical Industry Management, Zhengzhou 450000, China

第一机构：新乡学院机电工程学院

会议论文集：Informatics and Management Science III

会议日期：December 21, 2012 - December 23, 2012

会议地点：Kunming, China

语种：英文

外文关键词：Lead compounds - Maps

摘要：Stable and unstable manifolds play an important role in revealing the dynamics of dynamical systems. They form boundaries of different attractors and separate the whole space into different subspaces. Intersections of stable and unstable manifolds will lead to complexed dynamics, and homoclinic intersections are the source of chaos. A new algorithm for computing 2D stable and unstable manifolds of hyperbolic fixed points of maps is presented in this paper. A generalized Foliation Condition is used to guarantee that the 2D manifold is growing uniformly along the orbits of 1D sub-manifold in different directions. By foliation condition, the manifold has been better computed. ? 2013 Springer-Verlag.