Detail publikace

# Estimating dimension of state space attractors

GÖTTHANS, T.

Originální název

Estimating dimension of state space attractors

Český název

Estimating dimension of state space attractors

Typ

článek ve sborníku

Jazyk

cs

Originální abstrakt

The geometry of chaotic attractors can be complex and difficult to describe without some mathematical tool. The topic of this contribution is the realization of program for comput-ing the dimensions of state space attractors. We can also find out if the system is highly sensitive to initial conditions. First we need to numerically integrate system of equations, create a data set and finally we can estimate the capacity or Kaplan-Yorke dimension. The main objective of derived program is to analyze and determine chaotic behavior providing a chance to discuss the accuracy of computation engine and theoretical value.

Český abstrakt

The geometry of chaotic attractors can be complex and difficult to describe without some mathematical tool. The topic of this contribution is the realization of program for comput-ing the dimensions of state space attractors. We can also find out if the system is highly sensitive to initial conditions. First we need to numerically integrate system of equations, create a data set and finally we can estimate the capacity or Kaplan-Yorke dimension. The main objective of derived program is to analyze and determine chaotic behavior providing a chance to discuss the accuracy of computation engine and theoretical value.

Klíčová slova

State attractors, dimension, fractals.

Rok RIV

2008

Vydáno

24.04.2008

FEKT VUT v Brně

Místo

Brno

ISBN

978-80-214-3614-5

Kniha

Proceedings of the 14th Conference STUDENT EEICT 2008

Strany od

23

Strany do

25

Strany počet

3

BibTex

``````
@inproceedings{BUT27195,
author="Tomáš {Götthans}",
title="Estimating dimension of state space attractors",
annote="The geometry of chaotic attractors can be complex and difficult to describe without some mathematical tool. The topic of this contribution is the realization of program for comput-ing the dimensions of state space attractors. We can also find out if the system is highly sensitive to initial conditions. First we need to numerically integrate system of equations, create a data set and finally we can estimate the capacity or Kaplan-Yorke dimension. The main objective of derived program is to analyze and determine chaotic behavior providing a chance to discuss the accuracy of computation engine and theoretical value.",
booktitle="Proceedings of the 14th Conference STUDENT EEICT 2008",
chapter="27195",
howpublished="electronic, physical medium",
institution="FEKT VUT v Brně",
year="2008",
month="april",
pages="23--25",
publisher="FEKT VUT v Brně",
type="conference paper"
}``````