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Chaotic behaviour of cellular neural networks.

Result description

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 weree found to be in excellent agreement with the numerical results.

Keywords

Neural networkchaosbifurkationHodgkin-Huxley equations

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Chaotic behaviour of cellular neural networks.

  • Original language description

    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 weree found to be in excellent agreement with the numerical results.

  • Czech name

    Chaotické chování celulárních neuronových sítí.

  • Czech description

    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 weree found to be in excellent agreement with the numerical results.

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    JA - Electronics and optoelectronics

  • OECD FORD branch

Result continuities

Others

  • Publication year

    2005

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Socrates Workshop. Proceedings

  • ISBN

    80-214-3042-7

  • ISSN

  • e-ISSN

  • Number of pages

    9

  • Pages from-to

    112-120

  • Publisher name

    Nakl. Novotný

  • Place of publication

    Brno

  • Event location

    Chania, Crete, Greece

  • Event date

    Sep 21, 2005

  • Type of event by nationality

    CST - Celostátní akce

  • UT code for WoS article

Basic information

Result type

D - Article in proceedings

D

CEP

JA - Electronics and optoelectronics

Year of implementation

2005