Up: CDS 280 - Info

CDS 280: Course Outline

March 3/30 parameter dependent systems: what you want to know about them
examples: classical pendulum equation
April 4/6canceled
4/13 the implicit function theorem
Newton's method
parameter continuation
Keller's pseudo-arclength continuation
examples: predator-prey model
4/15
example: predator-prey model
outlook to computing invariant manifolds
4/20canceled
4/27 continuation of a simple fold
parameter and Keller's pseudo-arclength continuation
detection of a simple fold and change of stability
branch points
May 5/4 branch switching
detection of bifurcation points
Hopf bifurcations
5/11 periodic orbits
bifurcations of periodic orbits
5/13 1D global (un)stable manifolds of maps
5/18 1D and 2D global (un)stable manifolds of vector fields
examples: Lorenz
Arneodo
5/25canceled
June 6/1canceled
6/8 model for a power system network
normally hyperbolic invariant manifolds
6/10
Final presentations:
1:15 - 1:55pmJie Yu "A subdivision algorithm for the computation of unstable manifolds and global attractors"
2:00 - 2:40pmAli Jadbabaie "Calculating stable and unstable manifolds for invertible maps"
2:45 - 3:25pmPablo Parillo "Computing a closest bifurcation instability in multidimensional parameter space"

Up: CDS 280 - Info

Written by Hinke Osinga
Last modified: Wed Jun 9 19:03:10 1999