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» Bifurcations in Morris-Lecar neuron model
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IJON
2006
97views more  IJON 2006»
13 years 4 months ago
Bifurcations in Morris-Lecar neuron model
We investigate bifurcations observed in a Morris-Lecar neuron model. Especially, we paid attention to the change of bifurcation structures between type I and type II models. We fo...
Kunichika Tsumoto, Hiroyuki Kitajima, Tetsuya Yosh...
ICONIP
2008
13 years 6 months ago
On Similarity Measures for Spike Trains
A variety of (dis)similarity measures for one-dimensional point processes (e.g., spike trains) are investigated, including the Victor-Purpura distance metric, the van Rossum distan...
Justin Dauwels, François B. Vialatte, Theop...
NN
1998
Springer
13 years 4 months ago
Multiple cusp bifurcations
The cusp bifurcation provides one of the simplest routes leading to bistability and hysteresis in neuron dynamics. We show that weakly connected networks of neurons near cusp bifu...
Eugene M. Izhikevich
IJBC
2007
137views more  IJBC 2007»
13 years 4 months ago
Patterns of oscillation in a Ring of Identical Cells with Delayed Coupling
We investigate the behaviour of a neural network model consisting of three neurons with delayed self and nearest-neighbour connections. We give analytical results on the existence...
Sharene D. Bungay, Sue Ann Campbell
SIAMAM
2008
109views more  SIAMAM 2008»
13 years 4 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