Saddle-node bifurcations
Abstract
This chapter describes one generic mechanism for the birth or destruction of equilibria. Such bifurcations are ubiquitous in neural models. They involve the coalescence of a node and a saddle point. The chapter also illustrates how bifurcation diagrams can be used to summarize behaviors over a full range of parameter values.
Fields of Study & Subjects
Advanced Differential Equations and Dynamical Systems
Neural dynamics and brain function
Nonlinear Dynamics and Pattern Formation
Publication details
- Journal / source
- Chapman & Hall/CRC eBooks
- Pages
- 20–24
- Publication date
- 27 February 2026
- Language
- EN
- Document type
- Book chapter