Bifurcation of Periodic Solution in Singular Perturbed Parameterized Ordinary Differential Equation (ODEs)
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Abstract
In this paper, we study the bifurcation of the periodic solutions of the singularly perturbed parameterized differential equation(ODEs) of the form
where is a bifurcation parameter and is a perturbed parameter, Our study focuses on Poincare map as a periodic solution of such ODEs. We have discussed and study the basic types of bifurcation in ODE that is saddle node, transcritical, pitchfork, and Hopf bifurcation.
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