摘要
超混沌是现代科学的主要成就之一,扩展超混沌的应用对现代科学的发展有重要意义。工程中的许多问题都可以转化为非线性方程组的求解问题,牛顿迭代法是重要的一维及多维的迭代技术,其迭代本身对初始点非常敏感。应用超混沌修正的Rssler系统产生初始点,首次提出了基于超混沌状态方程的牛顿迭代法求解非线性方程组的新方法,它比基于混沌的牛顿迭代法求解效率更高。机构综合与近似综合实例表明该方法的正确性与有效性。
The discovery of dynamical hyperchaos is one of the main achievements in the modem science and how to expand its application has important significance for the further development of modern science. Many engineering questions can be transformed into nonlinear equations for finding their solutions, newton iterative method is an important technique to one dimensional and multidimensional variables and the iterative process exhibits sensitive dependence on initial guess point. A new method based on utilizing hyperchaofic modified Rǒssler systems to locate initial points to find all solutions of the nonlinear questions was firstly proposed and it has high solving efficiency compared with chaotic Chen systems. The nmnerical examples in linkage synthesis and approximate synthesis show that the method is correct and effective.
出处
《机械设计与研究》
CSCD
北大核心
2007年第1期31-33,共3页
Machine Design And Research
