Dynamical systems

Course Code :1002WETDFI
Study domain:Mathematics
Academic year:2017-2018
Semester:1st semester
Contact hours:30
Study load (hours):84
Contract restrictions: No contract restriction
Language of instruction:Dutch
Exam period:exam in the 1st semester
Lecturer(s)Sonja Hohloch

3. Course contents *

Chapter 1: Basic properties of dynamical systems

  1. Discrete and continuous dynamical systems.
  2. Vector fields and flows.
  3. Fixed points, periodic and non-periodicorbits.
  4. Commuting flows.

Chapter 2: Local and global behaviour of dynamical systems

  1. Stability and invariant sets.
  2. Local behaviour close to hyperbolic fixed points: the theorem of Hartman-Grobman.
  3. Limit sets.
  4. Dynamics in 2 dimensions: the theorem of Poincaré-Bendixon.

Chapter 4: Chaos: Strange attractors

  1. What is chaos?
  2. The Lorenz system.
  3. Strange attractors.