Two lectures on generic bifurcation theory as part of the Dynamical Systems course for PhD and Master’s students at the Instituto de Ciências Matemáticas e de Computação of the Universidade de São Paulo.

Contents

1. Bifurcation problems
2. Genericity
3. The continuation “bifurcation”
4. Lyapunov-Schmidt reduction
5. Generic 1-parameter steady bifurcations: The saddle-node bifurcation
6. Changing genericity: Symmetries and network structure

Dates

• Monday August 26, 2024: 10:00-12:00, Room 3-012
• Wednesday August 28, 2024: 10:00-12:00, Room 3-012