Two-dimensional Hyper-chaotic Mapping Interval Newton Iterative Method to Mechanism Synthesis

摘要：

　　Mechanism synthesis questions can be transformed into nonlinear equations to be found.Interval Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point.The characteristic of hyper-chaotic sequences produced by two dimensional hyper-chaotic discrete systems was analyzed.Making use of the advantage of giving rigorous bounds for the exact solution,for the first time,combining hyper-chaos sequences and interval Newton iteration with Krawczyk operator,a new method to find all solutions was proposed.The numerical examples in linkage synthesis and approximate synthesis show that the method is correct and effective.

关键词： Hyper-chaotic system two dimensional discrete system interval algorithm mechanism synthesis nonlinear equation

作者: Youxin LUO Bin ZENG

作者单位: College of Mechanical Engineering, Hunan University of Arts and Science Changde, 415000, P.R.China

会议类型: 国际会议

会议名称: the 2011 International Conference on Frontiers of Manufacturing Science and Measuring Technology (第一届制造科学与检测技术国际会议(ICFMM2011))

会议地点: 重庆

会议语种:英文

页码: 764-768

在线出版日期: 2011-06-23（万方平台首次上网日期，不代表论文的发表时间）