Publication detail

Modeling of Nonstandard Systems with Quadratic Vector Field in Comparison with Circuitry Realization

HRUBOŠ, Z. PETRŽELA, J.

Original Title

Modeling of Nonstandard Systems with Quadratic Vector Field in Comparison with Circuitry Realization

Type

conference paper

Language

English

Original Abstract

This paper reviews the numerical analysis, simulation and circuit implementation of algebraically simple chaotic flows. One remarkable feature of chaos is, that it can occur in very simple low-dimensional non-linear equations. For easy solution is used simply mathematical model of three differential equations with one nonlinearity in this article. Very specific solution of non-linear dynamical systems which widely exists in nature is called chaos. The main contribution of this article is in comparison numerical analysis with behavior of the mathematical model in real circuit implementation. It's a basic authentication of posibilies how to realize very simple real physical systems electronically.

Keywords

Differential equations, chaos, strange attractor, bifurcation, synthesis, electronic circuit

Authors

HRUBOŠ, Z.; PETRŽELA, J.

RIV year

2011

Released

17. 11. 2011

Location

Francie

ISBN

978-1-61804-051-0

Book

Recent Researches in Mathematical Methods in Electrical Engineering & Computer Science

Pages from

104

Pages to

109

Pages count

6

BibTex

@inproceedings{BUT74569,
  author="Zdeněk {Hruboš} and Jiří {Petržela}",
  title="Modeling of Nonstandard Systems with Quadratic Vector Field in Comparison with Circuitry Realization",
  booktitle="Recent Researches in Mathematical Methods in Electrical Engineering & Computer Science",
  year="2011",
  pages="104--109",
  address="Francie",
  isbn="978-1-61804-051-0"
}