Detail publikace

Experimentalni studie vzorkovaneho labyrint chaosu

GÖTTHANS, T. PETRŽELA, J.

Originální název

Experimental study of the sampled labyrinth chaos

Český název

Experimentalni studie vzorkovaneho labyrint chaosu

Anglický název

Experimental study of the sampled labyrinth chaos

Typ

článek v časopise

Jazyk

en

Originální abstrakt

In this paper, some new numerical as well as experimental results connected with the so-called labyrinth chaos are presented. This very unusual chaotic motion can be generated by mathematical model involving the scalar goniometrical functions which makes a three-dimensional autonomous dynamical system strongly nonlinear. Final circuitry implementation with analog core and digital parts can be used for modeling Brownian motion. From the viewpoint of generating chaotic motion by some electronic circuit, first step is to solve problems associated with the two-port nonlinear transfer functions synthesis. In the case of labyrinth chaos the finite dynamical range of the input variables introduced by the used active elements usually limits the performance greatly, similarly as it holds for the multi-grid spiral attractors. This paper shows an elegant way how to remove these obstacles by using universal multiple-port with internal digital signal processing.

Český abstrakt

V clanku jsou predstaveny nove numericke a experimentalni metody pro konstrukci tzv. Labyrinth chaosu. Tento neobvykly dynamicky systém obsahuje goniometricke funkce, které cini systém silne nelineární. Konecna obvodova realizace obsahuje jak digitalni část, tak analogovou část. Vysledny obvod, muze byt pouzit pro modelovani Brownova pohybu. Pro konstrukci obvodu však bylo nutne nejdříve vyresit problem nelinearniho digitálního dvojbranu. Vyuziti aktivnich clenu vsak omezuje dynamiku výsledného systemu. Clanek však obsahuje elegantni reseni pro odstraneni danych prekazek využitím digitálního zpracovani.

Anglický abstrakt

In this paper, some new numerical as well as experimental results connected with the so-called labyrinth chaos are presented. This very unusual chaotic motion can be generated by mathematical model involving the scalar goniometrical functions which makes a three-dimensional autonomous dynamical system strongly nonlinear. Final circuitry implementation with analog core and digital parts can be used for modeling Brownian motion. From the viewpoint of generating chaotic motion by some electronic circuit, first step is to solve problems associated with the two-port nonlinear transfer functions synthesis. In the case of labyrinth chaos the finite dynamical range of the input variables introduced by the used active elements usually limits the performance greatly, similarly as it holds for the multi-grid spiral attractors. This paper shows an elegant way how to remove these obstacles by using universal multiple-port with internal digital signal processing.

Klíčová slova

Autonomní systém, stavový atraktor, chaos, analogový oscilátor, dynamický pohyb

Rok RIV

2011

Vydáno

01.12.2011

Strany od

420

Strany do

427

Strany počet

7

BibTex


@article{BUT74530,
  author="Tomáš {Götthans} and Jiří {Petržela}",
  title="Experimental study of the sampled labyrinth chaos",
  annote="In this paper, some new numerical as well as experimental results connected with the so-called labyrinth chaos are presented. This very unusual chaotic motion can be generated by mathematical model involving the scalar goniometrical functions which makes a three-dimensional autonomous dynamical system strongly nonlinear. Final circuitry implementation with analog core and digital parts can be used for modeling Brownian motion. From the viewpoint of generating chaotic motion by some electronic circuit, first step is to solve problems associated with the two-port nonlinear transfer functions synthesis. In the case of labyrinth chaos the finite dynamical range of the input variables introduced by the used active elements usually limits the performance greatly, similarly as it holds for the multi-grid spiral attractors. This paper shows an elegant way how to remove these obstacles by using universal multiple-port with internal digital signal processing.",
  chapter="74530",
  journal="Radioengineering",
  number="4",
  volume="20",
  year="2011",
  month="december",
  pages="420--427",
  type="journal article"
}