12. Glossary

• Bifurcation: A point where the topological structure of the solutions changes.

• Continuation: A numerical method for tracking a branch of solutions.

• Jacobian: The matrix of all first-order partial derivatives of a vector-valued function.

• Newton’s Method: An iterative root-finding algorithm.

• Pseudo-Arclength: An extension of the arclength that allows for continuation around turning points.