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The Rulkov map is a two-dimensional iterated map used to model a biological neuron. It was proposed by Nikolai F. Rulkov in 2001.〔"Modelling of spiking-bursting neural behavior using two dimensional map",()〕 The use of this map to study neural networks has computational advantages because the map is easier to iterate than a continuous dynamical system. This saves memory and simplifies the computation of large neural networks. ==The model== The Rulkov map, with as discrete time, can be represented by following dynamical equations: : : where represents the membrane potential of the neuron. The variable in the model is a slow variable due to very small value of parameter . Unlike variable , variable does not have explicit biological meaning though some analogy to gating variables can be drawn. The parameter can be thought of as an external dc current given to the neuron and is a nonlinearity parameter of the map. Different combinations of parameters and give rise to different dynamical states of the neuron like resting, tonic spiking and chaotic bursts. The chaotic bursting is enabled above 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Rulkov map」の詳細全文を読む スポンサード リンク
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