Title: Influence of network connection and synchronisation for Hindmarsh-Rose model

Authors: Qiuju Jia; Zengqiang Chen

Addresses: Department of Automation, Nankai University, Tianjin 300071, China ' Department of Automation, Nankai University, Tianjin 300071, China

Abstract: In recent years, the chaotic synchronisation of neural networks has been an urgent problem. In this paper, a kind of small parameter r unmatched neuron network is considered. At first, the dynamical behaviours of the HR neuron model are analysed by the ISI diagram. A change of parameter r in small range will result in great change in the size of the chaos attractor and so, the significance of parameter r in the dynamic behaviour of neuron can be shown. Meanwhile, we also study the role of network connection types and coupling strength in the synchronisation of neuron network. It may play a significance role to neuroscience and clinical medicine research in the future.

Keywords: symmetry networks; Hindmarsh-Rose model; neuron models; bifurcation; chaotic synchronisation; neural networks; network connection; modelling; chaos attractor.

DOI: 10.1504/IJSCIP.2012.050470

International Journal of System Control and Information Processing, 2012 Vol.1 No.1, pp.105 - 117

Published online: 23 Nov 2012 *

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