Synchronization properties in networks of Hindmarsh-Rose neurons and their PWL approximations with linear symmetric coupling

Author

Linaro, Daniele ; Righero, Marco ; Biey, Mario ; Storace, Marco

Author_Institution

Biophys. & Electron. Eng. Dept., Univ. of Genoa, Genoa, Italy

fYear

2009

fDate

24-27 May 2009

Firstpage

1685

Lastpage

1688

Abstract

In this paper we analyze the collective behaviors of networks of Hindmarsh-Rose (HR) neurons and compare them with the behaviors of networks of piecewise-linear (PWL) approximations of the HR neurons. In all cases, the neurons are assumed to be symmetrically and diffusively coupled, with different topologies. The analysis is based on the master stability function (MSF) approach. The obtained results are verified by numerical time domain simulations of networks of 100 neurons. The synchronization properties of the PWL networks turn out to be very similar to those of the HR networks, as well as the dynamical properties of the single neurons (analyzed elsewhere).

Keywords

approximation theory; neural nets; synchronisation; Hindmarsh-Rose neurons; PWL approximations; linear symmetric coupling; master stability function; piecewise-linear approximations; synchronization properties; Biological system modeling; Circuits; Computational modeling; Electronic mail; Linear approximation; Network topology; Neurons; Numerical simulation; Piecewise linear techniques; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2009. ISCAS 2009. IEEE International Symposium on

Conference_Location

Taipei

Print_ISBN

978-1-4244-3827-3

Electronic_ISBN

978-1-4244-3828-0

Type

conf

DOI

10.1109/ISCAS.2009.5118098

Filename

5118098