# 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.