Bifurcation in Singularity Parameterized ODEs

Authors

  • Kamal H Yasir University of Thi- Qar The College of Education Sciences Pure
  • Zahraa A Mutar Thi-Qar University College of Education for Pure Sciences

DOI:

https://doi.org/10.24297/jam.v12i1.592

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.

Downloads

Download data is not yet available.

Author Biographies

Kamal H Yasir, University of Thi- Qar The College of Education Sciences Pure

Department of mathematics

Zahraa A Mutar, Thi-Qar University College of Education for Pure Sciences

Department of Mathematics

Downloads

Published

2016-02-16

How to Cite

Yasir, K. H., & Mutar, Z. A. (2016). Bifurcation in Singularity Parameterized ODEs. JOURNAL OF ADVANCES IN MATHEMATICS, 12(1), 5808–5816. https://doi.org/10.24297/jam.v12i1.592

Issue

Section

Articles