The Research of Time-Delay Hyper-Chaotic Mapping Newton Iterative Method to Mechanism Synthesis

Many questions in natural science and engineering are transformed into solving nonlinear equation. Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. Continuous time-delay chaotic system is the infinite dimensional system which can produce several positive Lyapunov exponents, so such system can produce complex sequences. For the first time, a new method to find all solutions based on utilizingiquesttime-delay hyper-chaotic system to obtain locate initial points to find all solutions of the nonlinear questions was proposed. The numerical example in linkage synthesis shows that the method is correct and effective.