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Nonlinear dynamical systems

Code: 92944
ECTS: 5.0
Lecturers in charge: prof. dr. sc. Sonja Štimac - Lectures
Load:

1. komponenta

Lecture typeTotal
Lectures 45
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
COURSE AIMS AND OBJECTIVES: The students are introduced to basic ideas and techniques of the nonlinear (chaotic) descrete dynamical systems.

COURSE DESCRIPTION AND SYLLABUS:
1. Examples of dynamical systems.
2. Graphical analyses and the phase portraits, periodic points, hyperbolicity.
3. The quadratic map, symbolic dynamics and topological conjugacy.
4. Sarkovskii's theorem and chaos.
5. The Schwarzian derivative, the unimodal maps and the kneading theory.
Literature:
  1. R. L. Devaney: An introduction to chaotic dynamical systems, 2nd edition
  2. A. Katok, B. Hasselblatt, G. - C. Rota: Introduction to the modern theory of dynamical systems
1. semester
Izborni predmet 1, 2, 3, 4 - Regular study - Mathematical Statistics

2. semester
Izborni predmet 1, 2, 3, 4 - Regular study - Mathematical Statistics

3. semester
Izborni predmeti 5, 6, 7 - Regular study - Mathematical Statistics

4. semester
Izborni predmeti 5, 6, 7 - Regular study - Mathematical Statistics
Consultations schedule: