THE GENERALIZED HYPERBOLIC PERTURBATION METHOD FOR HOMOCLINIC SOLUTION OF NONLINEAR AUTONOMOUS SYSTE

来源 :The Third International Conference on Dynamics,Vibration and | 被引量 : 0次 | 上传用户:fang200710081202fang
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  A generalized hyperbolic perturbation procedure is presented to extend the validity of the hyperbolic perturbation method for homoclinic solution of nonlinear oscillatory system (x) + g(x)=εf(μ,x,(x)), in which g(x) is a function of displacement x with arbitrary odd and even nonlinearity and μ is a parameter.The generalized hyperbolic functions are employed to express the homoclinic solution.Critical value of homoclinic bifurcation parameter μ can be determined in the perturbation procedure.To assess the efficiency of the present method, three typical examples are studied in detail.
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