Detail publikace

Jednoduchý chaotický tok s kruhovým a čtverecovým ekvilibriem

GÖTTHANS, T. SPROTT, J. PETRŽELA, J.

Originální název

Simple Chaotic Flow With Circle and Square Equilibrium

Český název

Jednoduchý chaotický tok s kruhovým a čtverecovým ekvilibriem

Anglický název

Simple Chaotic Flow With Circle and Square Equilibrium

Typ

článek v časopise

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).

Český abstrakt

Jednoduché dynamické systémy třetího řádu autonomních nelineárních diferenciálních rovnic mohou vykazovat chaotické chování. V tomto příspěvku přinášíme novou třídu chaotických toků s kruhovým a čtvercovým ekvilibriem.

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).

Klíčová slova

Chaos; kruhové ekvilibrium; čtvercové ekvilibrium; atraktor; bifurkace.

Vydáno

11.08.2016

World Scientific

Strany od

1650137

Strany do

1650147

Strany počet

10

URL

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).",