Inderscience Publishers

Influence of network connection and synchronisation for Hindmarsh–Rose model

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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

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