Detail publikace

Nová třída chaotických systémů s kruhovým ekvilibriem

GÖTTHANS, T. PETRŽELA, J.

Originální název

New class of chaotic systems with circular equilibrium

Český název

Nová třída chaotických systémů s kruhovým ekvilibriem

Anglický název

New class of chaotic systems with circular equilibrium

Typ

článek v časopise

Jazyk

en

Originální abstrakt

This paper brings a new mathematical model of the third-order autonomous deterministic dynamical system with associated chaotic motion. Its unique property lies in the existence of circular equilibrium which was not, by referring to the best knowledge of the authors, so far reported. Both mathematical analysis and circuitry implementation of the corresponding differential equations are presented. It is shown that discovered system provides a structurally stable strange attractor which fulfills fractal dimensionality and geometrical density and is bounded into a finite state space volume.

Český abstrakt

Článek přináší nový matematický model nelineárního autonomního systému s cirkulárním ekvilibriem. Celý systém je matematicky analyzován, poté je prezentováno obvodové zapojení jako důkaz strukturální stability včetně měření.

Anglický abstrakt

This paper brings a new mathematical model of the third-order autonomous deterministic dynamical system with associated chaotic motion. Its unique property lies in the existence of circular equilibrium which was not, by referring to the best knowledge of the authors, so far reported. Both mathematical analysis and circuitry implementation of the corresponding differential equations are presented. It is shown that discovered system provides a structurally stable strange attractor which fulfills fractal dimensionality and geometrical density and is bounded into a finite state space volume.

Klíčová slova

Autonomní systém, oblast přitažlivosti, kruhová ekvilibria, chaos, nelineární dynamika, vektorové pole.

Rok RIV

2015

Vydáno

10.04.2015

Strany od

1

Strany do

7

Strany počet

7

URL

BibTex


@article{BUT114645,
  author="Tomáš {Götthans} and Jiří {Petržela}",
  title="New class of chaotic systems with circular equilibrium",
  annote="This paper brings a new mathematical model of the third-order autonomous deterministic dynamical system with associated chaotic motion. Its unique property lies in the existence of circular equilibrium which was not, by referring to the best knowledge of the authors, so far reported. Both mathematical analysis and circuitry implementation of the corresponding differential equations are presented. It is shown that discovered system provides a structurally stable strange attractor which fulfills fractal dimensionality and geometrical density and is bounded into a finite state space volume.",
  chapter="114645",
  doi="10.1007/s11071-015-2056-7",
  howpublished="online",
  number="04",
  volume="2015",
  year="2015",
  month="april",
  pages="1--7",
  type="journal article"
}