Publication 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

journal article

Language

en

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.

RIV year

2015

Released

10.04.2015

Pages from

1

Pages to

7

Pages count

7

URL

BibTex


@article{BUT114645,
  author="Tomáš {Götthans} and Jiří {Petržela}",
  title="New class of chaotic systems with circular equilibrium",
  annote="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.",
  chapter="114645",
  doi="10.1007/s11071-015-2056-7",
  howpublished="online",
  number="04",
  volume="2015",
  year="2015",
  month="april",
  pages="1--7",
  type="journal article"
}