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Rulkov map information


Time series of Rulkov map showing three different dynamical regimes

The Rulkov map is a two-dimensional iterated map used to model a biological neuron. It was proposed by Nikolai F. Rulkov in 2001.[1] 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.

  1. ^ "Modelling of spiking-bursting neural behavior using two dimensional map",[1]

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Rulkov map

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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. The use of this map to...

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Complex system

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Giuseppe (2022-06-01). "Simulating heterogeneous corporate dynamics via the Rulkov map". Structural Change and Economic Dynamics. 61: 32–42. doi:10.1016/j.strueco...

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Coupled map lattice

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exponent Stochastic cellular automata Rulkov map Chialvo map Kaneko, Kunihiko (1992). "Overview of coupled map lattices". Chaos: An Interdisciplinary...

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Synthetic nervous system

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The Rulkov map forgoes complex ion channel-based models composed of many non-linear differential equations in favor of a two-dimensional map. This map expresses...

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Bifurcation memory

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(disambiguation) Bifurcation diagram Bifurcation theory Phase portrait Rulkov map FitzHugh-Nagumo model The theorem on the continuous dependence of solutions...

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Chialvo map

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Coupled map lattice (CML) numerical approach which considers time and space as discrete variables but state as a continuous one. Later on Rulkov popularized...

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