Bifurcation: meaning, definitions and examples

mathematics, biology

Bifurcation refers to a phenomenon in which a small change in the parameter values of a system leads to a sudden qualitative change in its behavior. In mathematics, it often describes the splitting of a single structure into two distinct branches. This concept is crucial in various fields, including physics, where it can describe phase transitions, and in biology, where it can refer to evolutionary paths. Understanding bifurcation helps in analyzing systems’ stability and patterns of behavior.

branching, division, splitting

Examples of usage

• The bifurcation of the river creates two distinct water flow patterns.

• Bifurcation theory helps predict the behavior of dynamical systems under varying conditions.

• In ecology, bifurcation can explain the divergence of species over time.

• Mathematicians study bifurcation points to understand system changes.