Detail publikačního výsledku

New class of chaotic systems with circular equilibrium

GÖTTHANS, T.; PETRŽELA, J.

Originální název

New class of chaotic systems with circular equilibrium

Anglický název

New class of chaotic systems with circular equilibrium

Druh

Článek WoS

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.

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

Autonomous system, Attracting set, Circular equilibrium, Chaos, Nonlinear dynamics, Vector field.

Klíčová slova v angličtině

Autonomous system, Attracting set, Circular equilibrium, Chaos, Nonlinear dynamics, Vector field.

Autoři

GÖTTHANS, T.; PETRŽELA, J.

Vydáno

10.04.2015

ISSN

0924-090X

Periodikum

NONLINEAR DYNAMICS

Svazek

81

Číslo

04

Stát

Spojené státy americké

Strany od

1143

Strany do

1149

Strany počet

7

URL

http://link.springer.com/article/10.1007%2Fs11071-015-2056-7#

Plný text v Digitální knihovně

http://hdl.handle.net/11012/201392

BibTex

@article{BUT114645,
  author="Tomáš {Götthans} and Jiří {Petržela}",
  title="New class of chaotic systems with circular equilibrium",
  journal="NONLINEAR DYNAMICS",
  year="2015",
  volume="81",
  number="04",
  pages="1143--1149",
  doi="10.1007/s11071-015-2056-7",
  issn="0924-090X",
  url="http://link.springer.com/article/10.1007%2Fs11071-015-2056-7#"
}