Detail publikace

Simple Chaotic Flow With Circle and Square Equilibrium

GÖTTHANS, T. SPROTT, J. PETRŽELA, J.

Originální název

Simple Chaotic Flow With Circle and Square Equilibrium

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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).

Klíčová slova

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

Autoři

GÖTTHANS, T.; SPROTT, J.; PETRŽELA, J.

Vydáno

11. 8. 2016

Nakladatel

World Scientific

ISSN

1793-6551

Periodikum

International Journal of Bifurcation and Chaos

Ročník

26

Číslo

08

Stát

Singapurská republika

Strany od

1650137

Strany do

1650147

Strany počet

10

URL

http://www.worldscientific.com/doi/abs/10.1142/S0218127416501376

BibTex

@article{BUT127172,
  author="Tomáš {Götthans} and Julien Clinton {Sprott} and Jiří {Petržela}",
  title="Simple Chaotic Flow With Circle and Square Equilibrium",
  journal="International Journal of Bifurcation and Chaos",
  year="2016",
  volume="26",
  number="08",
  pages="1650137--1650147",
  doi="10.1142/S0218127416501376",
  issn="1793-6551",
  url="http://www.worldscientific.com/doi/abs/10.1142/S0218127416501376"
}