Detail publikace

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

Originální název

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

Anglický název

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

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

Dokumenty

BibTex


@inproceedings{BUT74569,
  author="Zdeněk {Hruboš} and Jiří {Petržela}",
  title="Modeling of Nonstandard Systems with Quadratic Vector Field in Comparison with Circuitry Realization",
  annote="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.",
  booktitle="Recent Researches in Mathematical Methods in Electrical Engineering & Computer Science",
  chapter="74569",
  howpublished="print",
  year="2011",
  month="november",
  pages="104--109",
  type="conference paper"
}