Biological applications of bifurcation theory provide a framework for understanding the behavior of biological networks modeled as dynamical systems.

For a more mathematical discussion, see the articles on nonlinearity, dynamical systems, bifurcation theory, and chaos theory.

In bifurcation theory, a field within mathematics, a pitchfork bifurcation is a particular type of local bifurcation.

Elastica theory is an example of bifurcation theory.

This research lead to the development of concepts such as catastrophe theory; a branch of bifurcation theory in dynamical systems.

Now for a marvelous trick, much used in exploring dynamics with bifurcation theory.

"Perturbation methods, bifurcation theory and computer algebra."

The paradox of enrichment can be accounted for by the bifurcation theory.

Spatial bifurcation is a form of bifurcation theory.

Center manifolds play an important role in bifurcation theory because interesting behavior takes place on the center manifold.