Bifurcation Solutions of Non-linear Fourth Order Ordinary Differential Equation with Two Parameters

Year 2018, Volume: 6 Issue: 1, 113 - 120, 27.04.2018

Mudhir A. Abdul Hussain

https://doi.org/10.36753/mathenot.421779

https://izlik.org/JA95KH74JZ

Abstract

In this article we are interested in the study of bifurcation solutions of non-linear fourth order differential
equation by using local method of Lyapunov -Schmidt. The reduced equation corresponding to the
non-linear fourth order differential equation is given by a nonlinear system of two algebraic equations.
The classification of the solutions (equilibrium points) of this system has been discussed.

Keywords

Bifurcation theory , Nonlinear systems , Local Lyapunov-Schmidt method

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