12 citations · 41 across the 9 of their papers we have counts for
6 papers · 1 filter
Mean-field solution of the neural dynamics in a Greenberg-Hastings model with excitatory and inhibitory units
Joaquin Almeira, Tomas S. Grigera, Daniel A. Martin +2
We present a mean field solution of the dynamics of a Greenberg-Hastings neural network with both excitatory and inhibitory units. We analyse the dynamical phase transitions that a…
Finite-size correlation behavior near a critical point: a simple metric for monitoring the state of a neural network
Eyisto J. Aguilar Trejo, Daniel A. Martin, Dulara De Zoysa +5
In this article, a correlation metric is proposed for the inference of the dynamical state of neuronal networks. is computed from the scaling of the correlation length…
Apparently similar neuronal dynamics may lead to different collective repertoire
Margarita M. Sánchez Díaz, Eyisto J. Aguilar Trejo, Daniel A. Martin +3
This report is concerned with the relevance of the microscopic rules, that implement individual neuronal activation, in determining the collective dynamics, under variations of the…
Box-scaling as a proxy of finite-size correlations
Daniel A. Martin, Tiago L. Ribeiro, Sergio A. Cannas +3
The scaling of correlations as a function of system size provides important hints to understand critical phenomena on a variety of systems. Its study in biological systems offers t…
Controlling a complex system near its critical point via temporal correlations
Dante R. Chialvo, Sergio A. Cannas, Dietmar Plenz +1
A wide variety of complex systems exhibit large fluctuations both in space and time that often can be attributed to the presence of some kind of critical phenomena. Under such crit…
Specific heat anomaly in a supercooled liquid with amorphous boundary conditions
Daniel A. Martin, Andrea Cavagna, Tomas S. Grigera
We study the specific heat of a model supercooled liquid confined in a spherical cavity with amorphous boundary conditions. We find the equilibrium specific heat has a cavity-size-…