Abstract
This paper studies dynamics of a simple bifurcating neuron to which spike-train input is applied a refractory threshold. The neuron can exhibit rich periodic orbits that is super-stable for initial state and has very fast transient. The periodic orbits are characterized by the rotation number that relates to rate coding of the spike-train. The dynamics can be simplified into the 1-D map of spiking phase. The phase map is piecewise linear and basic bifurcation phenomena can be clarified theoretically.
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Teshima, S., Saito, T. (2009). A Simple Spiking Neuron with Periodic Input: Basic Bifurcation and Encoding Function. In: Leung, C.S., Lee, M., Chan, J.H. (eds) Neural Information Processing. ICONIP 2009. Lecture Notes in Computer Science, vol 5864. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10684-2_42
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DOI: https://doi.org/10.1007/978-3-642-10684-2_42
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