Note that this course is cross-listed with the ELTE University and is held on their campus. Its schedule is set by ELTE.

Meeting times: Thursdays 8-10am in "Déli Tömb" 3-715
Note that 8am is actually 8:15am.

Instructor: Dr. Péter SIMON

Prerequisites: Differential equations

A short description of the course: Topological equivalence, classification of linear systems. Poincaré normal forms, classification of nonlinear systems. Stable, unstable, centre manifolds theorems, Hartman - Grobman theorem. Periodic solutions and their stability. Index of two-dimensional vector fields, behaviour of trajectories at infinity. Applications to models in biology and chemistry. Hamiltonian systems. Chaos in the Lorenz equation.

Textbook: Peter L Simon, Dynamical systems and differential equations, lecture notes.
Further reading: L. Perko, Differential Equations and Dynamical systems, Springer