Publication detail

Estimating dimension of state space attractors

GÖTTHANS, T.

Original Title

Estimating dimension of state space attractors

English Title

Estimating dimension of state space attractors

Type

conference paper

Language

Czech

Original Abstract

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.

English abstract

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.

Keywords

State attractors, dimension, fractals.

Key words in English

State attractors, dimension, fractals.

Authors

GÖTTHANS, T.

RIV year

2008

Released

24. 4. 2008

Publisher

FEKT VUT v Brně

Location

Brno

ISBN

978-80-214-3614-5

Book

Proceedings of the 14th Conference STUDENT EEICT 2008

Pages from

23

Pages to

25

Pages count

3

BibTex

@inproceedings{BUT27195,
  author="Tomáš {Götthans}",
  title="Estimating dimension of state space attractors",
  booktitle="Proceedings of the 14th Conference STUDENT EEICT 2008",
  year="2008",
  pages="23--25",
  publisher="FEKT VUT v Brně",
  address="Brno",
  isbn="978-80-214-3614-5"
}