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.

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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

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Published

2016-02-16

Issue

Vol. 12 No. 1 (2016)

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Bifurcation in Singularity Parameterized ODEs. (2016). JOURNAL OF ADVANCES IN MATHEMATICS, 12(1), 5808-5816. https://doi.org/10.24297/jam.v12i1.592