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Mathematical introduction to chaos theory

Augustová Petra

: ( 2012)

: CZ.1.07/2.3.00/09.0031, GA MŠk

: Dynamical system, chaotic kind, solar system

: http://www.crr.vutbr.cz

(eng): The aim of this seminar is to give mathematical basic for the study of chaos theory. We will start with a short tour to the history of dynamical systems. We move to simple one-dimensional functions and show how the properties of chaos can appear there.We follow by more complicated two-dimensional case. The next chapter on Chaos gives tools how to study it such as Lyapunov ex- ponents or conjugacy. The sets produced by chaotic behavior, called fractals are studied in the following chapter. The simplest mathematical example is the Cantor set. Maybe surprisingly this set appears naturally in many applications.

: BC

07.01.2019 - 08:39