The Research of Sinai Chaos Mapping Method to Mechanism Synthesis

Abstract:

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 property of chaos serials produced by Sinai chaos mapping method was analyzed. For the first time, a new method to find all solutions based on utilizing Sinai 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.

• Periodical: Key Engineering Materials (Volumes 467-469)
• Pages: 411-415
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.467-469.411
• Online since: February 2011
• Authors: You Xin Luo, Qi Yuan Liu, Bin Zeng
• Keywords: Approximate Synthesis, Chaos Mapping, Linkage Mechanism, Nonlinear Equation, Sinai Chaos

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