Part 1/3 |
Homoclinic orbits to fixed points of maps
(3:00) Stable and unstable invariant sets of hyperbolic fixed points (9:30) Hetero-/homoclinic orbits as intersections of stable and unstable invariant manifolds (11:50) Regular homoclinic orbits (32:00) Poincare-Birkhoff-Smale-Shilnikov Theorem (35:00) Homoclinic tangency (42:00) |
Part 2/3 |
Continuation of regular homoclinic orbits
(2:50) Computation of 1D unstable invariant manifolds (27:00) Computation of 1D stable invariant manifolds (47:10) |
Part 3/3 |
Location of homoclinic orbits of planar maps
as intersections of 1D invariant manifolds (12:00) |