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SIAMAM
2008
109views more  SIAMAM 2008»
13 years 6 months ago
Bifurcation Analysis of a General Class of Nonlinear Integrate-and-Fire Neurons
In this paper we define a class of formal neuron models being computationally efficient and biologically plausible, i.e., able to reproduce a wide range of behaviors observed in in...
Jonathan Touboul
IJBC
2008
112views more  IJBC 2008»
13 years 6 months ago
Computation and Visualization of bifurcation Surfaces
The localization of critical parameter sets called bifurcations is often a central task of the analysis of a nonlinear dynamical system. Bifurcations of codimension 1 that can be ...
Dirk Stiefs, Thilo Gross, Ralf Steuer, Ulrike Feud...
SIAMADS
2010
122views more  SIAMADS 2010»
13 years 27 days ago
Local/Global Analysis of the Stationary Solutions of Some Neural Field Equations
Neural or cortical fields are continuous assemblies of mesoscopic models, also called neural masses, of neural populations that are fundamental in the modeling of macroscopic parts...
Romain Veltz, Olivier D. Faugeras
BC
2008
72views more  BC 2008»
13 years 6 months ago
Spike-train spectra and network response functions for non-linear integrate-and-fire neurons
Reduced models have long been used as a tool for the analysis of the complex activity taking place in neurons and their coupled networks. Recent advanced in experimental and theore...
Magnus J. E. Richardson
SIAMAM
2008
170views more  SIAMAM 2008»
13 years 6 months ago
Absolute Stability and Complete Synchronization in a Class of Neural Fields Models
Neural fields are an interesting option for modelling macroscopic parts of the cortex involving several populations of neurons, like cortical areas. Two classes of neural field equ...
Olivier D. Faugeras, François Grimbert, Jea...