Bifurcation Theory and Its Applications in Dynamical Systems: A Modern Perspective

Abstract

Bifurcation theory constitutes a vital framework for understanding the emergence of complex behavior in dynamical systems. This journal article presents a contemporary perspective on bifurcation theory, emphasizing its applications in diverse fields, including physics, biology, and engineering. By exploring recent advancements and case studies, we aim to provide a comprehensive overview of the significance of bifurcation theory in characterizing the behavior of complex systems.