53 citations · 420 across the 41 of their papers we have counts for
6 papers · 1 filter
Inducing periodicity and chaos by negative feedback
E. Pecou, B. Cessac, G. Espinoza
This paper has been withdrawn due to an error in the proof of the main theorem.
On Dynamics of Integrate-and-Fire Neural Networks with Conductance Based Synapses
B. Cessac, T. Vieville
We present a mathematical analysis of a networks with Integrate-and-Fire neurons and adaptive conductances. Taking into account the realistic fact that the spike time is only known…
Are biological neurons that vicious ? Or only their models ?
T. Vieville, B. Cessac
This paper has been withdrawn. Its main conclusions have been published in "On dynamics of integrate-and-fi re neural networks with conductance based synapses", arXiv:0709.4370 and…
Effects of Hebbian learning on the dynamics and structure of random networks with inhibitory and excitatory neurons
Benoit Siri, Mathias Quoy, Bruno Delord +2
The aim of the present paper is to study the effects of Hebbian learning in random recurrent neural networks with biological connectivity, i.e. sparse connections and separate popu…
A discrete time neural network model with spiking neurons. Rigorous results on the spontaneous dynamics
B. Cessac
We derive rigorous results describing the asymptotic dynamics of a discrete time model of spiking neurons introduced in \cite{BMS}. Using symbolic dynamic techniques we show how th…
A mathematical analysis of the effects of Hebbian learning rules on the dynamics and structure of discrete-time random recurrent neural networks
Benoit Siri, Hugues Berry, Bruno Cessac +2
We present a mathematical analysis of the effects of Hebbian learning in random recurrent neural networks, with a generic Hebbian learning rule including passive forgetting and dif…