bibtype O - Others
ARLID 0382583
utime 20240103201430.4
mtime 20121107235959.9
title (primary) (eng) Mathematical introduction to chaos theory
publisher
pub_time 2012
keyword Dynamical system
keyword chaotic kind
keyword solar system
author (primary)
ARLID cav_un_auth*0259382
name1 Augustová
name2 Petra
full_dept (cz) Teorie řízení
full_dept (eng) Department of Control Theory
department (cz)
department (eng) TR
institution UTIA-B
full_dept Department of Control Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
url http://www.crr.vutbr.cz
cas_special
project
project_id CZ.1.07/2.3.00/09.0031
agency GA MŠk
country CZ
ARLID cav_un_auth*0284495
abstract (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.
reportyear 2013
RIV BC
inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0212766
arlyear 2012
mrcbU10 2012