Part 1/3
Critical cases: Limit Point of Cycles (LPC), Period Doubling (PD), and Neimark-Sacker (NS) bifurcations (0:00)
Critical periodic normal forms (13:00)
Fredholm's techniques for differential operators with simple zero eigenvalue (30:00)
Part 2/3
Fredholm's techniques for differential operators with double zero eigenvalue (0:00)
Part 3/3
Critical periodic normal form coefficients for LPC bifurcation (0:00)
Critical periodic normal form coefficients for PD bifurcation (33:40)
Critical periodic normal form coefficients for NS (torus) bifurcation (40:48)
Remark on normal forms for periodically forced ODEs (44:16)