1. komponenta

Lecture type	Total
Lectures	45

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.

1. An introduction to chaotic dynamical systems, 2nd edition, R. L. Devaney, Westview Press, 1989.
2. Introduction to the modern theory of dynamical systems, A. Katok, B. Hasselblatt, G. - C. Rota, Cambridge University Press, 1996.

Izborni predmet 1, 2 - Regular study - Theoretical Mathematics

Izborni predmet 1, 2 - Regular study - Theoretical Mathematics

Izborni predmet 3, 4 - Regular study - Theoretical Mathematics

Izborni predmet 3, 4 - Regular study - Theoretical Mathematics