| STATIONARY POINTS ITERATION METHOD FOR PERIODIC SOLUTION TO NONLINEAR SYSTEM |
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| 作者姓名： | 刘铁牛 王伟 |
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| 作者单位： | Department of Engineering Mechanics，Engineering Institute of Dalian，Dalian，Department of Engineering Mathematics and Mechanics，Engineering Institute of Zhengzhou，Zhengzhou |
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| 摘 要： | The value method which is used to obtain the periodic solution to nonlinear system ismentioned in this article.Different point reflection is defined in the nonlinear autonomousand nonautonomous system firstly and then that linear reflection obtained from theinserting value of nonlinear reflection is asymptotic to original nonlinear reflection.Thestationary points obtained by linear reflection are regarded as the asymptotic solution ofthe stationary points of original system.If this asymptotic solution of the stationary pointsis not satisfactorily accurate it can be used as the initial point of the next reflection.Inaddition,a corresponding method of researching the stability of periodic solution is putforward in this article.
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