Bifurcation of Periodic Solutions of First order non-Autonomous Differential Equations

Abstract

This article deals the development of the number of periodic solutions for ordinary differential equations.We investigate the focal values for first order non-autonomous differential equation for periodic solution from a fine focus .Periodic solutions with polynomial coefficients are executed for classes  and .Limit cycles are found .We present a variety of polynomial classes along with their bifurcation analysis  which confirms the generality and authenticity of the method presented