The Research of Newton Iteration Method Based on Hyperchaos Chen System to Mechanism Synthesis
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 multi-dimensional variables and iterative process exhibits sensitive dependence on initial guess point. For the first time, a new method based on utilizing hyperchaos Chen systems to obtain locate initial points to find all solutions of the nonlinear questions and taking improved Newton iterative method was proposed and it has higher solving efficiency compared with chaos Chen systems. The numerical examples in linkage synthesis and approximate synthesis show that the proposed method is correct and effective.
Helen Zhang, Gang Shen and David Jin
Q. Y. Liu et al., "The Research of Newton Iteration Method Based on Hyperchaos Chen System to Mechanism Synthesis", Advanced Materials Research, Vols. 204-210, pp. 169-173, 2011