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 two-dimensional vector fields, behaviour of trajectories at infinity. Hamilton systems.

literature

L. Perko, Differential Equations and Dynamical systems, Springer

form of tuition

Lectures

mode of assessment

Written or oral exam