Bifurcation Theory: A Review

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> 

Keywords

• bifurcation
• hopf bifurcation
• saddle- node bifurcation
• period doubling bifurcation
• chaos
• sdic