U Leiden, Spring 2010: Introduction to perturbation methods

3 Feb to 12 May 2010, Thursdays 13.30-15.15h (not 24. March, 5. May)
Vivi Rottschäfer (office 206), Jens Rademacher (office 202 only Thursdays)
Assistant: Frits Veerman (office 202)


Literature
Resources Homework (may change, all dates strict, to be handed in before class)
  1. 10.2. Set 1. Strict due date 24.2.
  2. 24.2. Set 2. Matlab files. Strict due date 10.3.
  3. 10.3. Set 3. Strict due date 31.3.
  4. 31.3. Set 4. Matlab files. Strict due date 14.4.
  5. 14.4. Set 5. Strict due date 28.4.
  6. 28.4. Set 6. Strict due date 19.5.
Lecture schedule (tentative)

    3.2.Introduction, chapter 1 (Vivi)
    10.2.ch. 1, 2 (Vivi, Jens gone)
    17.2.Implicit function theorem (Jens). See Wiki, also for Banach fixed point theorem.
    24.2. (Vivi, Jens gone)
    3.3.Bifurcations I (Jens): Scholarpedia, WikiPedia, Text by Michael Cross, Lyapunov-Schmidt reduction in words
    10.3.(Vivi)
    17.3.Bifurcations II (Jens): Pitchfork(WikiPedia), Stability (Scholarpedia)
    31.3.(Jens) Mathematica file used in class.
    7.4.(Jens) Mathematica files on hysteresis, and for the PDE used in class.
    14.4.(Jens) Andronov-Hopf bifurcation (scholarpedia)
    21.4.(Vivi)
    28.4.(Vivi, Jens gone)
    12.5.(Vivi, Jens gone)