discipline 
Mathematics

subject 
Qualitative theory of
ordinary differential equations I. 
lecturers 
Péter L.
Simon 
credits 
2 
period 
1 
curriculum 
Topological equivalence, classification of linear systems. Poincaré normal forms. Stable, unstable, centre manifolds theorems,
Hartman  Grobman theorem. Periodic solutions and
their stability. Index of twodimensional vector fields, behaviour of
trajectories at infinity. 
literature 
L. Perko, Differential Equations and
Dynamical systems, Springer 
form of tuition 
Lectures 
mode of assessment 
Written or oral
exam 