机构综合的Henon混沌映射牛顿迭代方法研究

The Research of Henon Chaos Mapping Method to Mechanism Synthesis

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Henon混沌映射方法产生初始点,分析其特性,首次提出基于Henon混沌映射的牛顿迭代法求解非线性方程组新方法。机构综合与近似综合实例表明该方法的正确性与有效性。

Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. The property of chaos serials produced by Henon chaotic mapping method was analyzed. For the first time, a new method to find all solutions based on utilizing Henon chaotic mapping to obtain locate initial points to find all solutions of the nonlinear questions was proposed. The numerical examples in linkage synthesis and approximate synthesis show that the new method is correct and effective.