Firing Pattern Estimation of Synaptically Coupled Hindmarsh-Rose Neurons by Adaptive Observer

Authors:
Yusuke Totoki;Kouichi Mitsunaga;Haruo Suemitsu;Takami Matsuo
Affiliations:
Department of Architecture and Mechatronics, Oita University, Oita, Japan 870-1192;Control Engineering Department, Oita Institute of Technology, Oita, Japan;Department of Architecture and Mechatronics, Oita University, Oita, Japan 870-1192;Department of Architecture and Mechatronics, Oita University, Oita, Japan 870-1192
Venue:
ICANN '08 Proceedings of the 18th international conference on Artificial Neural Networks, Part II
Year:
2008

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Stable adaptive systems

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Neural Information Processing

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Abstract

In this paper, we present adaptive observers for synaptically coupled Hindmarsh-Rose(HR) neurons with the membrane potential measurement under the assumption that some of parameters in an individual HR neuron are known. Using the adaptive observers for a single HR neuron, we propose a two-stage merging procedure to identify the firing pattern of a model of synaptically coupled HR neurons. The procedure allows us to recover the internal states and to distinguish the firing patterns of the synaptically coupled HR neurons, with early-time dynamic behaviors.