Bifurcation Theory: A Review

Section: Article
Issue
Vol. 17 No. 2 (2023): Volume 17 Issue 2
Pages
93-103

Keywords:

Bifurcation, Hopf bifurcation, Saddle- node bifurcation, Period doubling bifurcation, Chaos, SDIC

Abstract

Bifurcation theory is a field of mathematics that studies the qualitative changes in the behavior of a dynamical system as a parameter in the system is varied.In this work, we review the history, the types of bifurcations and the relations of those concepts with the chaos phenomena and some other concepts such as sensitivity to the initial value. We also survey some applications of this important theory in the other fieldsLike Physics, chemistry, biology, geography, etc>

References

Authors

Salma M. Farris

Department of Mathematics College of Computer Sciences and Mathematics, University of Mosul, Iraq

ORCID
manal salim Hamdi

University Mosul

Identifiers

DOI: 10.33899/csmj.2023.181620

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Bifurcation Theory: A Review. (2023). AL-Rafidain Journal of Computer Sciences and Mathematics, 17(2), 93-103. https://doi.org/10.33899/csmj.2023.181620
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How to Cite

Bifurcation Theory: A Review. (2023). AL-Rafidain Journal of Computer Sciences and Mathematics, 17(2), 93-103. https://doi.org/10.33899/csmj.2023.181620