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力学学报  1992 

THREE VARIABLES ITERATION METHOD FOR OBTAINING THE PERIODIC SOLUTIONS AND THEIR STABILITY OF FULLY STRONG NONLINEAR AUTONOMOUS SYSTEMS
求解完全强非线性自治系统周期解及其稳定性的三变量迭代法

Keywords: Iteration method,Periodic solution,Strongly nonlinear autonomous tem,Stability criterion
迭代法
,周期解,强非线性系统,振动

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Abstract:

In this paper the three variables iteration method is suggested to find the periodic solutions and determine their stability of fully strong nonlinear autonomous systems of 2nd order. The comparison between the results obtained by our method and those obtained by numerical method shows that the three variables iteration method is both effective and of high accuracy.

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