Publication detail

Chaotic behaviour of cellular neural networks.

BRZOBOHATÝ, J. - MRICH, T.

Original Title

Chaotic behaviour of cellular neural networks.

English Title

Chaotic behaviour of cellular neural networks.

Type

conference paper

Language

en

Original Abstract

In this paper we discuss cellular neural networks. Chaos occurs in biological neural networks. Chaos is also exhibited by some neuron models such as the Hodgkin-Huxley and FitzHugh-Nagumo equations. A circuit for realizing the two-cell nonreciprocal cellular neural network was proposed. This circuit utilizes operational amplifiers, resistors and capacitors for the realization. For the sinusoidal forcing we observed the lady's shoe attractor and period-doubling bifurcations. The experimental results were found to be in excellent agreement with the numerical results.

English abstract

In this paper we discuss cellular neural networks. Chaos occurs in biological neural networks. Chaos is also exhibited by some neuron models such as the Hodgkin-Huxley and FitzHugh-Nagumo equations. A circuit for realizing the two-cell nonreciprocal cellular neural network was proposed. This circuit utilizes operational amplifiers, resistors and capacitors for the realization. For the sinusoidal forcing we observed the lady's shoe attractor and period-doubling bifurcations. The experimental results were found to be in excellent agreement with the numerical results.

Keywords

Neural network, chaos, bifurkation, Hodgkin-Huxley equations

RIV year

2005

Released

23.09.2005

Publisher

Nakl. Novotný

Location

Brno

ISBN

80-214-3042-7

Book

Socrates Workshop. Proceedings

Pages from

112

Pages to

120

Pages count

9

BibTex


@inproceedings{BUT20660,
  author="Jaromír {Brzobohatý} and Tomáš {Brich}",
  title="Chaotic behaviour of cellular neural networks.",
  annote="In this paper we discuss cellular neural networks. Chaos occurs in biological neural networks. Chaos is also exhibited by some neuron models such as the Hodgkin-Huxley and FitzHugh-Nagumo equations. A circuit for realizing the two-cell nonreciprocal cellular neural network was proposed. This circuit utilizes operational amplifiers, resistors and capacitors for the realization. For the sinusoidal forcing we observed the lady's shoe attractor and period-doubling bifurcations. The experimental results were found to be in excellent agreement with the numerical results.",
  address="Nakl. Novotný",
  booktitle="Socrates Workshop. Proceedings",
  chapter="20660",
  institution="Nakl. Novotný",
  year="2005",
  month="september",
  pages="112",
  publisher="Nakl. Novotný",
  type="conference paper"
}