MathematicsOptionalMTH-DYN-329
One-Dimensional Systems
fixed points, stability, bifurcations (saddle-node, transcritical, pitchfork)
- Difficulty
- 4 / 5
- Importance
- 4 / 5
- Study time
- 7.5–14 h
- Kind of work
- Practice
Why it matters
Studies systems evolving in time, from stable equilibria to chaos; connects ODE theory, nonlinear physics and applied math.
Where it is used
Population dynamics, planetary motion, weather and climate, financial cycles, neural dynamics, stabilization of machines.
How you know you have learned it
Produce working code/model + convergence/validation/error analysis.
Resources
- Nonlinear Dynamics and Chaos (Strogatz) — Steven Strogatz Book