9 citations · 10 across the 4 of their papers we have counts for
4 papers
The Volterra Integrable case. Novel analytical and numerical results
M. Scalia, O. Ragnisco, B. Tirozzi +1
In the present paper we reconsider the integrable case of the Hamiltonian -species Volterra system, as it has been introduced by Vito Volterra in 1937 and significantly enrich t…
Stability of the dynamics of an asymmetric neural network
J. F. Feng, M. Shcherbina, B. Tirozzi
We study the stability of the dynamics of a network of n neurons intercting linearly through a random gaussian matrix of excitatory and inhibitory type. Using the aproach developed…
Dynamical behavior of a large complex system
J. F. Feng, M. Shcherbina, B. Tirozzi
Limit theorems for a linear dynamical system with random interactions are established. These theorems enable us to characterize the dynamics of a large complex system in details an…
On the Critical Capacity of the Hopfield Model
J. Feng, M. Shcherbina, B. Tirozzi
We estimate the critical capacity of the zero-temperature Hopfield model by using a novel and rigorous method. The probability of having a stable fixed point is one when $α\le 0.11…