Studies on the conditions of limit cycle oscillations in the K2 models of neural populations

Author

Ilin, Roman ; Kozma, Robert ; Freeman, Walter J.

Author_Institution

Dept. of Math. Sci., Memphis Univ., TN, USA

Volume

2

fYear

2004

fDate

25-29 July 2004

Firstpage

1511

Abstract

K2 sets are basic building blocks of dynamical neural network memories called K3. The K3s are strongly biologically motivated models of neural organization and functioning at the mesoscopic level in the cortex of vertebrate brains. The present study focuses on the fixed point and the limit cycle attractors in K2s. It considers the eigenvalues of the linearized K2 system and outlines the conditions under which it exhibits limit cycle oscillations. The derived conditions are instrumental in tuning the parameters of the K3 models having sustained chaotic oscillations.

Keywords

brain models; content-addressable storage; eigenvalues and eigenfunctions; limit cycles; neural nets; neurophysiology; oscillations; pattern classification; time series; K3 system design; biologically motivated models; dynamical neural network memory; eigenvalues; k2 models; limit cycle oscillations; linearized k2 system; mesoscopic level; neural organization; neural populations; parameters tuning; pattern classification; sustained chaotic oscillations; time series; vertebrate brain cortex; Biological neural networks; Biological system modeling; Brain modeling; Chaos; Eigenvalues and eigenfunctions; Electronic mail; Limit-cycles; Mathematical model; Neurons; Neuroscience;

fLanguage

English

Publisher

ieee

Conference_Titel

Neural Networks, 2004. Proceedings. 2004 IEEE International Joint Conference on

ISSN

1098-7576

Print_ISBN

0-7803-8359-1

Type

conf

DOI

10.1109/IJCNN.2004.1380178

Filename

1380178