Journal of Basic and Environmental Sciences

Abstract of:

Combination Solution of Additive Type for Two Coupled Weakly Nonlinear Second Order Differential Equations

A. M. Elnaggar      ,, K. M. Khalil and A. M. Omran
Combinations solution of additive type to a two coupled weakly nonlinear second order differential equations which governed the motion of a two coupled nonlinear oscillator subjected to linear parametric excitation and external excitation. We determined the modulation equations in the amplitude and the phase, steady state solutions, the frequency-response equation and stability analysis of the steady state solutions by MSMS. Numerical study of the frequency-response equations and stability equations are given for different values of the parameters. Results are plotted in group of Figures. Finally discussion and conclusion are given.

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