Adaptive estimation of firing patterns of Hindmarsh-Rose neurons and synchronization detection with instantaneous Lyapunov exponents

In this paper, we present an adaptive observer of Hindmarsh-Rose (HR) neurons with the membrane potential measurement under the assumption that all parameters in an individual HR neuron are unknown. Using the time-varying adaptive observer for MIMO systems, we propose an adaptive observer to identif...

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Bibliographic Details
Main Authors: Ito, Ryuta, Totoki, Yusuke, Suemitsu, Haruo, Matsuo, Takami
Format: Conference Proceeding
Language:English
Subjects:
Adaptation model
Adaptive observer
bursting
Current measurement
firing pattern
Lyapunov exponent
Mathematical model
Neurons
Noise
Observers
spiking
Synchronization
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Summary:In this paper, we present an adaptive observer of Hindmarsh-Rose (HR) neurons with the membrane potential measurement under the assumption that all parameters in an individual HR neuron are unknown. Using the time-varying adaptive observer for MIMO systems, we propose an adaptive observer 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.