The Research of Lorenz Chaos Mapping Method to Mechanism Synthesis
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 Lorenz chaos mapping method was analyzed. For the first time, a new method to find all solutions based on utilizing Lorenz chaos 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.
Y. X. Luo and Q. Y. Liu, "The Research of Lorenz Chaos Mapping Method to Mechanism Synthesis", Key Engineering Materials, Vols. 467-469, pp. 407-410, 2011