Detail publikace

Simple Chaotic Flow With Circle and Square Equilibrium

Originální název

Simple Chaotic Flow With Circle and Square Equilibrium

Anglický název

Simple Chaotic Flow With Circle and Square Equilibrium

Jazyk

en

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).

Anglický 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).

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"
}