Publication detail

Simple Chaotic Flow With Circle and Square Equilibrium

GÖTTHANS, T. SPROTT, J. PETRŽELA, J.

Original Title

Simple Chaotic Flow With Circle and Square Equilibrium

English Title

Simple Chaotic Flow With Circle and Square Equilibrium

Type

journal article in Web of Science

Language

en

Original Abstract

Simple systems of third-order autonomous nonlinear differential equations can exhibit chaotic behavior. In this paper we present a new class of chaotic flow with a square-shaped equilibrium. This unique property has apparently not yet been described. Such a system belongs to a newly introduced category of chaotic systems with hidden attractors that are interesting and important in engineering applications. The mathematical model is accompanied by an electrical circuit implementation, demonstrating structural stability of the strange attractor. The circuit is simulated with PSpice, constructed, and analyzed (measured).

English abstract

Simple systems of third-order autonomous nonlinear differential equations can exhibit chaotic behavior. In this paper we present a new class of chaotic flow with a square-shaped equilibrium. This unique property has apparently not yet been described. Such a system belongs to a newly introduced category of chaotic systems with hidden attractors that are interesting and important in engineering applications. The mathematical model is accompanied by an electrical circuit implementation, demonstrating structural stability of the strange attractor. The circuit is simulated with PSpice, constructed, and analyzed (measured).

Keywords

Chaos; circle equilibrium; square equilibrium; attractor; bifurcation.

Released

11.08.2016

Publisher

World Scientific

ISBN

1793-6551

Periodical

International Journal of Bifurcation and Chaos

Year of study

26

Number

08

State

SG

Pages from

1650137

Pages to

1650147

Pages count

10

URL

Documents

BibTex


@article{BUT127172,
  author="Tomáš {Götthans} and Julien Clinton {Sprott} and Jiří {Petržela}",
  title="Simple Chaotic Flow With Circle and Square Equilibrium",
  annote="Simple systems of third-order autonomous nonlinear differential equations can exhibit chaotic behavior. In this paper we present a new class of chaotic flow with a square-shaped equilibrium. This unique property has apparently not yet been described. Such a system belongs to a newly introduced category of chaotic systems with hidden attractors that are interesting and important in engineering applications. The mathematical model is accompanied by an electrical circuit implementation, demonstrating structural stability of the strange attractor. The circuit is simulated with PSpice, constructed, and analyzed (measured).",
  address="World Scientific",
  chapter="127172",
  doi="10.1142/S0218127416501376",
  howpublished="print",
  institution="World Scientific",
  number="08",
  volume="26",
  year="2016",
  month="august",
  pages="1650137--1650147",
  publisher="World Scientific",
  type="journal article in Web of Science"
}