Bifurcation in Singularity Parameterized ODEs
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 1
Abstract
In this paper we will study differential algebraic equations (DAEs) through studying singularly perturbed ODEs. That's the ODEs will be transformed to an DAEs when the perturbed parameter approach to 0. This will permit us to apply the classicalbifurcation theory of ODEs for the new system (DAEs). So we will show by giving theorems, sufficient conditions for fold, pitchfork and transcritical bifurcation to be occurred in (DAEs). An illustrative example is given.
Authors and Affiliations
Kamal H Yasir, Zahraa A Mutar
Keywords
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- EP ID EP651640
- DOI 10.24297/jam.v12i1.592
- Views 164
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