Results 181 to 190 of about 64,361 (214)

Map-based models in neuronal dynamics

Physics Reports, 2011
Abstract Ever since the pioneering work of Hodgkin and Huxley, biological neuron models have consisted of ODEs representing the evolution of the transmembrane voltage and the dynamics of ionic conductances. It is only recently that discrete dynamical systems–also known as maps–have begun to receive attention as valid phenomenological neuron models ...
M A F Sanjuan
exaly   +2 more sources

One dimensional map-based neuron model: A phase space interpretation

Chaos, Solitons and Fractals, 2020
Abstract Computational models play an essential role in studying and predicting the behavior of a bio-system. Discrete dynamical models, usually known as maps, are important, especially when it comes to the mathematical study of the behavior of the neurons and neural network.
Sajad Jafari   +2 more
exaly   +2 more sources

Spiral and target wave chimeras in a 2D lattice of map-based neuron models

Chaos, 2019
We study the dynamics of a two-dimensional lattice of nonlocally coupled-map-based neuron models represented by Rulkov maps. It is firstly shown that this discrete-time neural network can exhibit spiral and target waves and corresponding chimera states when the control parameters (the coupling strength and the coupling radius) are varied.
Galina Strelkova   +2 more
exaly   +3 more sources

Bursting regimes in map-based neuron models coupled through fast threshold modulation

Physical Review E, 2008
A system consisting of two map-based neurons coupled through reciprocal excitatory or inhibitory chemical synapses is discussed. After a brief explanation of the basic mechanism behind generation and synchronization of bursts, parameter space is explored to determine less obvious but biologically meaningful regimes and effects.
MIGUEL A F Sanjuan, Hongjun Cao
exaly   +3 more sources

Synchronization effects using a piecewise linear map-based spiking–bursting neuron model

Neurocomputing, 2006
Models of neurons based on iterative maps allows the simulation of big networks of coupled neurons without loss of biophysical properties such as spiking, bursting or tonic bursting and with an affordable computational effort. These models are built over a phenomenological basis and are mainly implemented by the use of iterative two-dimensional maps ...
Eduardo Serrano   +2 more
exaly   +2 more sources

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