Neuronal Synchronization over Networks with Small-world Property

Author

Jalili, Mahdi

Author_Institution

Young Researchers Club, Islamic Azad Univ., Tehran

fYear

2009

fDate

3-5 April 2009

Firstpage

17

Lastpage

21

Abstract

In this paper the synchronization behavior of Hindmarsh-Rose neuron models over networks with small-world property is addressed. As network structure, a model proposed by Newman and Watts is considered and the synchronizability is obtained both by numerically solving the differential equations and by the master-stability-function method. In addition to diffusive electrical couplings, the effect of having excitatory chemical connections is also addressed and the complementary role of chemical synapses to the electrical one in providing complete synchrony in the network is shown.

Keywords

differential equations; neural nets; Hindmarsh-Rose neuron model; Newman-Watts network model; differential equation; master-stability-function method; neuronal synchronization; small-world network; Biological neural networks; Brain modeling; Cellular neural networks; Chemicals; Couplings; Differential equations; Frequency synchronization; Information management; Neural networks; Neurons; Hindmarsh-Rose neuron model; Newman-Watts network model; neural networks; small-world property; synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Management and Engineering, 2009. ICIME '09. International Conference on

Conference_Location

Kuala Lumpur

Print_ISBN

978-0-7695-3595-1

Type

conf

DOI

10.1109/ICIME.2009.145

Filename

5076990