37 citations · 135 across the 30 of their papers we have counts for
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math.DS2010★ 6 cited
Integrate and Fire Neural Networks, Piecewise Contractive Maps and Limit Cycles
E. Catsigeras, P. Guiraud
We study the global dynamics of integrate and fire neural networks composed of an arbitrary number of identical neurons interacting by inhibition and excitation. We prove that if t…
math.DS2010★ 6 cited
Topological dynamics of generic piecewise continuous contractive maps in n dimensions
Eleonora Catsigeras, Ruben Budelli
We study the topological dynamics by iterations of a piecewise continuous, non linear and locally contractive map in a real finite dimensional compact ball. We consider those maps…