Journal of Applied Mathematics & Bioinformatics

A Method for Finding Nonlinear Approximation of Bifurcation Solutions of Some Nonlinear Differential Equations

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• Abstract

  This paper introduce a method for finding nonlinear approximation of the solutions of some nonlinear partial differential equations by using Lyapunov-Schmidt reduction. Also, it provides an example for finding nonlinear approximation of bifurcation of periodic solutions of Duffing equation.