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.For the first time

a new method to find all solutions based on utilizing two dimension chaos mapping and one dimension chaos mapping based on Logistic model with coupling term two or one power to obtain locate initial points to find all solutions of the nonlinear questions is proposed.The numerical examples in linkage accurate points movement synthesis show that the method is effective.