| Part
1/4 |
Lexicographic order of index pairs (3:00) Wedge product of vectors (5:00) Bialternate matrix product (19:50) Stephanos Theorem (42:00) Detection of Hopf bifurcation (51:17) |
| Part
2/4 |
Detection of Neimark-Sacker bifurcation
(0:10) |
| Part
3/4 |
Limit cycles and their monodromy matrices
(1:00) Multipliers of a cycles (8:40) Scaling of the period (15:00) Periodic BVP with integral phase condition (25:00) Newton method for periodic BVP (36:40) Regularity of linearization (44:00) BVP Continuation Problems (52:20) |
| Part
4/4 |
Discretization of BVPCPs by orthogonal
collocation (1:00) Block structure of the Jacobian matrix (8:10) Approximation of the monodromy matrix (10:00) |