Publication result detail

Experimental study of the sampled labyrinth chaos

GÖTTHANS, T.; PETRŽELA, J.

Original Title

Experimental study of the sampled labyrinth chaos

English Title

Experimental study of the sampled labyrinth chaos

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

In this paper, some new numerical as well as experimental results connected with the so-called labyrinth chaos are presented. This very unusual chaotic motion can be generated by mathematical model involving the scalar goniometrical functions which makes a three-dimensional autonomous dynamical system strongly nonlinear. Final circuitry implementation with analog core and digital parts can be used for modeling Brownian motion. From the viewpoint of generating chaotic motion by some electronic circuit, first step is to solve problems associated with the two-port nonlinear transfer functions synthesis. In the case of labyrinth chaos the finite dynamical range of the input variables introduced by the used active elements usually limits the performance greatly, similarly as it holds for the multi-grid spiral attractors. This paper shows an elegant way how to remove these obstacles by using universal multiple-port with internal digital signal processing.

English abstract

In this paper, some new numerical as well as experimental results connected with the so-called labyrinth chaos are presented. This very unusual chaotic motion can be generated by mathematical model involving the scalar goniometrical functions which makes a three-dimensional autonomous dynamical system strongly nonlinear. Final circuitry implementation with analog core and digital parts can be used for modeling Brownian motion. From the viewpoint of generating chaotic motion by some electronic circuit, first step is to solve problems associated with the two-port nonlinear transfer functions synthesis. In the case of labyrinth chaos the finite dynamical range of the input variables introduced by the used active elements usually limits the performance greatly, similarly as it holds for the multi-grid spiral attractors. This paper shows an elegant way how to remove these obstacles by using universal multiple-port with internal digital signal processing.

Keywords

Autonomous system, state attractor, chaos, analog oscillator, dynamical motion

Key words in English

Autonomous system, state attractor, chaos, analog oscillator, dynamical motion

Authors

GÖTTHANS, T.; PETRŽELA, J.

RIV year

2012

Released

01.12.2011

ISBN

1210-2512

Periodical

Radioengineering

Volume

20

Number

4

State

Czech Republic

Pages from

420

Pages to

427

Pages count

7

BibTex

@article{BUT74530,
  author="Tomáš {Götthans} and Jiří {Petržela}",
  title="Experimental study of the sampled labyrinth chaos",
  journal="Radioengineering",
  year="2011",
  volume="20",
  number="4",
  pages="420--427",
  issn="1210-2512"
}