Courses
Integrerend project dynamische systemen (2010/11)
Algebraic Structures (2010/11)
Conservative Dynamical Systems (2010/11) (with Heinz Hanßmann)
Wiskunde&Statistiek voor Farmacie (2010/11)
Caput mathematical physics (2009/10)
Integrerend project dynamische systemen (2009/10)
Algebraische structuren (2009/10)
Biomathematica (2009/10) (with Leif Engqvist)
Honours College: Chaos Theory (2009/10)
Geometric Mechanics (2008/09) (with Heinz Hanßmann, Bob Rink and Arthemy Kiselev)
Algebra & Meetkunde (2008/09)
Biomathematica (2008/09) (with Leif Engqvist)
Algebra & Meetkunde (2007/08)
Biomathematica (2007/08) (with Franjo Weissing)
Dynamical Systems (2007/08)
Literature: Differential Equations, Dynamical Systems and An Introduction to Chaos
(Second Edition) by M. W. Hirsch, S. Smale, R. Devaney
1st week: historic remarks, first order ODE's
2nd week: 2D systems of linear ODE's, classification of equilibria, canonical forms, genericity, hyperbolicity, topological conjugacy; exercises: 1.3, 1.4 and 1.10
3rd week: systems of nonlinear ODE"s, existence and uniqueness of solutions, Hartman-Grobman theorem; exercises: 3.2, 3.7, 6.1, and 8.1
4th week: stable curve theorem, bifurcations of equilibria
