Bifurcation diagrams

Required Reading and Watching

1. Bifurcation Diagrams of Scalar ODEs. Chapter 16 of Cellular Biophysics and Modeling: A primer on the systems biology of excitable cells.
2. Terman pp. 21-28 “An introduction to dynamical systems and neuronal dynamics.” (Introduction & One Dimensional Equations)
3. ODE | Slope Fields
4. ODE | Phase diagrams
5. ODE | Bifurcation Diagram

Fall 2025 Slides

Optional Reading and Resources

1. Steve Strogatz’ lecture on “One dimensional Systems” (Cornell Math Department)
2. What is a saddle-node bifurcation?
3. What is a transcritical bifurcation?
4. What is a pitchfork bifurcation?