Journal
NONLINEAR DYNAMICS
Volume 82, Issue 3, Pages 1595-1604Publisher
SPRINGER
DOI: 10.1007/s11071-015-2263-2
Keywords
FitzHugh-Nagumo model; Phase portrait; Nonlinear electrical circuit; Electrical neuron; Electrical pulse stimulation; Interspike interval; Spikes response; Transmission coefficient
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Funding
- Service of Cooperation and Cultural Activity (SCAC) of the embassy of France in Cameroon
- European Masters in Computer Vision and Robotics, University of Burgundy, France
- Federal Target Program Research and development in priority areas of the development of the scientific and technological complex of Russia of the Ministry of Education and Science of Russia [RFMEFI57814X0074, 14.578.21.0074]
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Using an analog electrical FitzHugh-Nagumo neuron including complex threshold excitation (CTE) properties, we analyze its spiking responses on pulse stimulation. The system is subjected to external pulse stimulus and can generate nonlinear integrate-and-fire and resonant responses which are typical for excitable neuronal cells. Following earlier theoretical predictions, we found that for certain parameters range, there is a possibility to trigger a spiking sequence with a finite number of spikes in response to a single short stimulus pulse. Hence, active transformation of N incoming pulses to M outgoing spikes is possible. We also show that the nonlinear electrical circuit with the CTE feature can be effectively synchronized by a periodic pulse train with 1 to M spike frequency ratio.
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