机构综合的参数耦合概率超混沌牛顿迭代法研究

The Research on Probability Hyperchaotic Mapping Newton Iterative Method to Mechanism Synthesis

自然科学与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。应用参数耦合超混沌系统产生初始点,分析了混沌序列的概率特性,首次提出了基于参数耦合概率超混沌的牛顿迭代法求解非线性方程组的新方法。机构综合与近似综合实例表明了该方法的正确性与有效性。

Many questions in natural science and engineering are transformed into nonlinear equations to be found, Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. The probability characteristic of hyperchaotic sequences produced by parameter coupled hyperchaotic system was analyzed. For the first time, a new method to find all solutions based on utilizing parameter coupled probability hyperchaotic 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 method is correct and effective.