Dynamical systems 1995/96
The aim of the course is to discuss the dynamical systems approach to
differential equations. Examples of notions and results that will
appear are conjugacy, Poincaré maps, hyperbolic fixed points,
Hartman-Grobman theorem, stable/unstable/center manifolds,
stable manifold theorem, structural stability, hyperbolicity, Peixoto
theorems, Smale's horseshoe, Hamiltonian systems, etc.
As an example we will study Toda lattices, which are
Hamiltonian systems with surprising properties.
Peter Kumlin
<kumlin@math.chalmers.se>
Last modified March 21, 1996, by Lars Alexandersson <larsa@math.chalmers.se>