Title :
Neuronal Synchronization over Networks with Small-world Property
Author_Institution :
Young Researchers Club, Islamic Azad Univ., Tehran
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;
Conference_Titel :
Information Management and Engineering, 2009. ICIME '09. International Conference on
Conference_Location :
Kuala Lumpur
Print_ISBN :
978-0-7695-3595-1
DOI :
10.1109/ICIME.2009.145
