Bifurcation Theory

Online course of Prof Dima Turaev (Imperial College, London)

ZJNU, China, March-May 2005

Lecture 1. Introduction and Center Manifold Theorem. mp4

Lecture 2. Single Zero Eigenvalue. mp4

Lecture 3. Andronov-Hopf Bifurcation I. Preliminary Analysis. mp4

Lecture 4. Andronov-Hopf Bifurcation II. Number of periodic orbits. mp4

Lecture 5. Finding Centre Manifolds. mp4

Lecture 6. Bifurcations of Periodic Orbits. mp4

Lecture 7. Birth of Invariant Tori. mp4

Lecture 8. Torus Bifurcations. mp4