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A new method of solving two classes problems of weakly nonlinear oscillation
YUAN Xue hui,BAO Jian wen,YUAN Yi wu3
2001, (4):
115-118.
In this paper,using the interpolation perturbation method,the authors seek to solve two classes of weakly nonlinear oscillations.The one is the nonlinear free oscillation of conservative system.The other is the parametric oscillation.For the former,since we transform the problem to solve differentiation into that to solve algebraic equation,the calculating process is very simple.For the latter,since we transform the problem to seek to solve the second order differential equation into that of twice integrations,the calculating process is also simple.There are calculating examples which show that the results of the paper is reliable.
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