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Bifurcation Theory: A Review | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Volume 17, Issue 2, December 2023, Pages 93-103 PDF (531.2 K) | ||
| DOI: 10.33899/csmj.2023.181648 | ||
| Authors | ||
| Salma M. Farris* 1; manal salim Hamdi2 | ||
| 1Department of Mathematics College of Computer Sciences and Mathematics, University of Mosul, Iraq | ||
| 2University Mosul | ||
| 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 fields Like Physics, chemistry, biology, geography, … etc> | ||
| Keywords | ||
| Bifurcation; Hopf bifurcation; Saddle- node bifurcation; Period doubling bifurcation; Chaos; SDIC | ||
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