An Asymptotic Method For Time Dependent Nonlinear Systems With Varying Coefficients

admin May 9, 2015

Authors:

Pinakee Dey,M. Zulfikar Ali,M.Shamsul Alam,K.C. Roy,

DOI NO:

https://doi.org/10.26782/jmcms.2008.12.00007

Keywords:

Non-linear system, ,Varying coefficent,Periodic force,Asymptotic Method,

Abstract

An asymptotic method has been found to obtain approximate solution of a second of a second order Nonlinear Differential system based on the extension of Krylov-Bogoliubov-mitropolskii method, whose coefficients change slowly and periodically with time. Moreover a non-autonomous case also investigated in which an external periodic force acts in the system. The solutions for different initial conditions show a good agreement with those obtained by numerical method. The method is illustrated by examples.  

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Pinakee Dey, M. Zulfikar Ali, M. Shamsul Alam, K. C. Roy View Download