Chaotic Dynamics of a Linear Chain of Periodically Stimulated Neurons with Random Synaptic Connections

• Authors: R. Kosiński , A. Krawiecki , A. Sukiennicki
• Languages of publication: EN

Abstracts

EN

Dynamics of a neural network in the form of a linear chain of artificial neurons S_i∈(-1,1) influenced by an external sinusoidal stimulation is investigated as a function of the range k of synaptic connections with random values. Time evolution of the network is periodic for small k, however, clusters of neurons oscillating with a triple period of external stimulation, with quasiperiodic or with chaotic time evolution may occur. For increasing k the number and width of the chaotic clusters increase and for k >4 the chaotic motion occurs in the whole network. A route to chaos in the considered system is discussed.

Keywords

EN

87.10.+e; 05.45.-a

Discipline

• 05.45.-a: Nonlinear dynamics and chaos(see also section 45 Classical mechanics of discrete systems; for chaos in fluid dynamics, see 47.52.+j; for chaos in superconductivity, see 74.40.De)

• Journal: Acta Physica Polonica A
• Year: 2001
• Volume: 100
• Issue: 1
• Pages: 89-99

Dates

published

2001-07

received

2001-05-19

Contributors

author

R. Kosiński

• Faculty of Physics, Warsaw University of Technology, Koszykowa 76, 00-662 Warsaw, Poland
• Central Institute for Labor Protection, Czerniakowska 16, 00-701 Warsaw, Poland

author

A. Krawiecki

• Faculty of Physics, Warsaw University of Technology, Koszykowa 76, 00-662 Warsaw, Poland

author

A. Sukiennicki

• Faculty of Physics, Warsaw University of Technology, Koszykowa 76, 00-662 Warsaw, Poland
• Deptartment of Solid State Physics, University of Łódź, Pomorska 149/153, 90-283 Łódź, Poland

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Identifiers

DOI

10.12693/APhysPolA.100.89