119 citations · 1.1k across the 55 of their papers we have counts for
20 papers · 1 filter
Susceptibility for extremely low external fluctuations and critical behaviour of Greenberg-Hastings neuronal model
Joaquin Almeira, Daniel A. Martin, Dante R. Chialvo +1
We consider the scaling behaviour of the fluctuation susceptibility associated with the average activation in the Greenberg-Hastings neural network model and its relation to micros…
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…
Tricritical behavior in a neural model with excitatory and inhibitory units
Joaquin Almeira, Tomas S. Grigera, Dante R. Chialvo +1
While the support for the relevance of critical dynamics to brain function is increasing, there is much less agreement on the exact nature of the advocated critical point. Thus, 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…
Universal and non-universal neural dynamics on small world connectomes: a finite size scaling analysis
Mahdi Zarepour, Juan I. Perotti, Orlando V. Billoni +2
Evidence of critical dynamics has been recently found in both experiments and models of large scale brain dynamics. The understanding of the nature and features of such critical re…
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…
T=0 phase diagram and nature of domains in ultrathin ferromagnetic films with perpendicular anisotropy
Santiago A. Pighin, Orlando V. Billoni, Daniel A. Stariolo +1
We present the complete zero temperature phase diagram of a model for ultrathin films with perpendicular anisotropy. The whole parameter space of relevant coupling constants is stu…
Stability as a natural selection mechanism on interacting networks
Juan I. Perotti, Orlando V. Billoni, Francisco A. Tamarit +1
Biological networks of interacting agents exhibit similar topological properties for a wide range of scales, from cellular to ecological levels, suggesting the existence of a commo…
Domain walls, canted states and stripe width variation in ultrathin magnetic films with perpendicular anisotropy
Santiago A. Pighin, Orlando V. Billoni, Daniel A. Stariolo +1
Stripe width variation in ultrathin magnetic films is a well known phenomenon still not well understood. We analyze this problem considering a 2D Heisenberg model with ferromagneti…
Non-equilibrium structures and slow dynamics in a two dimensional spin system with competitive long range and short range interactions
Omar Osenda, Francisco A. Tamarit, Sergio A. Cannas
We introduce a lattice spin model that mimics a system of interacting particle through a short range repulsive potential and a long range attractive power law decaying potential. W…
Emergent self-organized complex network topology out of stability constraints
J. I. Perotti, O. V. Billoni, F. A. Tamarit +2
Although most networks in nature exhibit complex topology the origins of such complexity remains unclear. We introduce a model of a growing network of interacting agents in which e…
The Spin Reorientation Transition and Phase Diagram of Ultrathin Ferromagnetic Films
Marianela Carubelli, Orlando V. Billoni, Santiago Pighin +3
We show results from Monte Carlo simulations of a two dimensional Heisenberg model for ultrathin films with perpendicular anisotropy. A complete phase diagram is obtained as a func…
Spin-glass behavior in the random-anisotropy Heisenberg model
Orlando V. Billoni, Sergio A. Cannas, Francisco A. Tamarit
We perform Monte Carlo simulations in a random anisotropy magnet at a intermediate exchange to anisotropy ratio. We focus on the out of equilibrium relaxation after a sudden quench…
Slow dynamics in a 2D Ising model with competing interactions
P. M. Gleiser, F. A. Tamarit, S. A. Cannas +1
The far-from-equilibrium low-temperature dynamics of ultra-thin magnetic films is analyzed by using Monte Carlo numerical simulations on a two dimensional Ising model with competin…
Metastable states in ultrathin magnetic films
Pablo M. Gleiser, Francisco A. Tamarit, Sergio A. Cannas
The equilibrium phase diagram of a two-dimensional Ising model with competing exchange and dipolar interactions is analyzed using a Monte Carlo simulation technique. We consider th…
Self-organized criticality in a model of biological evolution with long range interactions
Pablo M. Gleiser, Francisco A. Tamarit, Sergio A. Cannas
In this work we study the effects of introducing long range interactions in the Bak-Sneppen (BS) model of biological evolution. We analyze a recebtly propopsed version of the BS mo…
Evidence of exactness of the mean field theory in the nonextensive regime of long-range spin models
S. A. Cannas, A. C. N. de Magalhaes, F. A. Tamarit
The q-state Potts model with long-range interactions that decay as 1/r^alpha subjected to an uniform magnetic field on d-dimensional lattices is analized for different values of q…
Violation of the Fluctuation-Dissipation Theorem in a Two-Dimensional Ising Model with Dipolar Interactions
Daniel A. Stariolo, Sergio A. Cannas
The violation of the Fluctuation-Dissipation Theorem (FDT) in a two-dimensional Ising model with both ferromagnetic exchange and antiferromagnetic dipolar interactions is establish…