机构综合的超混沌相乘求解方法研究

The Research of Regularity of Multiplication Hyper Chaos Maps Method for Mechanism Synthesis

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。研究了超混沌相乘方法,首次提出了相乘超混沌求解非线性方程组新方法,并对机构综合进行了研究,给出了计算实例。该方法简单、实用,为实际机构的设计提供了多种选择方案,为机构学设计提供了全新的方法。

The discovery of dynamical hyper chaos is one of the main achievements in the modern science and how to expand its application has important significance to the development of modern science. 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 regularity of multiplication hyper chaos maps is investigated. The simulations are work out with Matlab software. For the first time,a new method to find all solutions based on utilizing multiplication hyper-chaotic sequences to obtain locate initial points to find all solutions of the nonlinear questions is proposed. The numerical example in linkage synthesis shows that the method is correct and effective. This provides a simple realization method for mechanics design.