Publication result detail

New class of chaotic systems with circular equilibrium

GÖTTHANS, T.; PETRŽELA, J.

Original Title

New class of chaotic systems with circular equilibrium

English Title

New class of chaotic systems with circular equilibrium

Type

WoS Article

Original Abstract

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.

English abstract

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.

Keywords

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

Key words in English

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

Authors

GÖTTHANS, T.; PETRŽELA, J.

RIV year

2016

Released

10.04.2015

ISBN

0924-090X

Periodical

NONLINEAR DYNAMICS

Volume

81

Number

04

State

United States of America

Pages from

1143

Pages to

1149

Pages count

7

URL

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

Full text in the Digital Library

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#"
}

Documents

Gotthans-Petržela2015_Article_NewClassOfChaoticSystemsWithCi