Detail publikace

Analýza a implementace systému s diskrétními periodickými skoky

GÖTTHANS, T. PETRŽELA, J.

Originální název

Analysis and implementation of dynamical system with periodical discrete jumps

Český název

Analýza a implementace systému s diskrétními periodickými skoky

Anglický název

Analysis and implementation of dynamical system with periodical discrete jumps

Typ

článek v časopise

Jazyk

en

Originální abstrakt

The novel method for dynamical motion quantification is discussed in this paper. The proposed approach is verified on the cyclically symmetrical vector field with jump functions generating the large state space attractors recently discovered by the authors. The core part of the calculation engine involves continuous Fourier transform and Cartesian to spherical conversion. It turns out that the existing methods give the incorrect results, have huge demands on the computer performance or completely fail to converge in the finite time. The fully analog as well as hybrid circuitry implementation using off-the-shelf components is also presented and validated by means of the network simulator Orcad Pspice.

Český abstrakt

V tomto článku je popsána nová metoda určená pro kvantifikaci dynamických systémů. Prezentovaná metoda je ověřena na cyklicky symetrickém vektorovém poli s periodickými skoky se schopností generovat objemově velké stavové aktraktory. Dané systémy byly nedávno objeveny samotnými autory. Výpočetním jádrem metody je Fourierova transformace a převod Kartézských souřadnic na sférické. Ukázalo se, že představené stavové atraktory není možné analyzovat pomocí stávajících metod, nebo není možné obdržet výsledky v konečném čase. Také je v článku představeno jak plně analogové obvodové řešení, tak digitálne-hybridní obvod. Vše je ověřeno pomocí obvodového simulátoru Orcad Pspice.

Anglický abstrakt

The novel method for dynamical motion quantification is discussed in this paper. The proposed approach is verified on the cyclically symmetrical vector field with jump functions generating the large state space attractors recently discovered by the authors. The core part of the calculation engine involves continuous Fourier transform and Cartesian to spherical conversion. It turns out that the existing methods give the incorrect results, have huge demands on the computer performance or completely fail to converge in the finite time. The fully analog as well as hybrid circuitry implementation using off-the-shelf components is also presented and validated by means of the network simulator Orcad Pspice.

Klíčová slova

Analogový oscilátor, dynamický systém, kvantifikace pohybu, chaos, stavový atraktor, Lyapunovy exponenty.

Rok RIV

2012

Vydáno

06.11.2012

Místo

Polsko

Strany od

161

Strany do

167

Strany počet

8

BibTex


@article{BUT94952,
  author="Tomáš {Götthans} and Jiří {Petržela}",
  title="Analysis and implementation of dynamical system with periodical discrete jumps",
  annote="The novel method for dynamical motion quantification is discussed in this paper. The proposed approach is verified on the cyclically symmetrical vector field with jump functions generating the large state space attractors recently discovered by the authors. The core part of the calculation engine involves continuous Fourier transform and Cartesian to spherical conversion. It turns out that the existing methods give the incorrect results, have huge demands on the computer performance or completely fail to converge in the finite time. The fully analog as well as hybrid circuitry implementation using off-the-shelf components is also presented and validated by means of the network simulator Orcad Pspice.",
  chapter="94952",
  number="4",
  volume="2012",
  year="2012",
  month="november",
  pages="161--167",
  type="journal article"
}