Detail publikace

New class of chaotic systems with circular equilibrium

Originální název

New class of chaotic systems with circular equilibrium

Anglický název

New class of chaotic systems with circular equilibrium

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

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"
}