Part 1/4
Setting (01:25)
Defining systems (05:10)
Minimally augmented defining systems for LP and Hopf (10:00)
Maximally augmented defining systems for LP and Hopf (18:56)
Simple LP and Hopf points (33:35)
Part 2/4
Transversality condition for Hopf (0:00)
Part 3/4
Fredholm decomposition (03:40). Regularity of the equilibrium manifold at a simple LP (21:00)
Bordering technique - II (25:15)
Minimally augmented defining system for LP via bordering (46:30)
Part 4/4
Minimally augmented defining systems for Hopf via bordering (0:00)