A gradient-prediction algorithm for computing one dimensional stable and unstable manifolds of maps

摘要：

　　A new algorithm is presented to compute both one dimensional stable and unstable manifolds of planar maps.The global manifold is grown from a local manifold and one point is added each step.It is proved that the gradient of the global manifold can be predicted by the known points on the manifold with a gradient prediction scheme and it can be used to locate the image or preimage of the new point quickly.A new accuracy criterion is derived from the gradient prediction scheme.The performance of the algorithm is tested with several well-known examples.

关键词： discrete dynamical system stable manifold unstable manifold hyperbolic fixed point Taylor series gradient prediction

作者: Jia Meng Ru Yi Xi Junjie Ji Qinghua Wu Zhong

作者单位: Department of Electrical Engineering, Xinxiang University, Xinxiang 453000, China Department of Electrical Engineering, ZhengZhou Institute of Aeronautical Industry Management,Zhengz

会议类型: 国际会议

会议名称: 2012 International Mechanical Properties and Structural Materials Conference(IMPSMC2012)(2012机械性能与结构材料国际会议)

会议地点: 太原

会议语种:英文

页码: 78-81

在线出版日期: 2012-08-17（万方平台首次上网日期，不代表论文的发表时间）