KMA/DS2 Dynamical Systems 2

Lecturer: Irena Rachůnková
Lecture: 2 hours/week e exercise 1 hour/week
Credits: 4
Summer semester
Form of course completion: course credit, exam

• Investigation of nonlinear dynamical systems near critical points.
• Asymptotic stability from linearization.
• Instability from linearization.
• Liapunov theorem.
• Saddle critical points. Chetaev theorem.
• Invariance principle.
• Bifurcations. Center manifolds.
• Periodic orbits. Poincaré map.
• Study of particular models.