publications

Papers

Susceptibility for extremely low external fluctuations and critical behaviour of Greenberg-Hastings neuronal model, Almeira J, Grigera TS, Martin DA, Chialvo DR, Cannas SA. arXiv preprint arXiv:2506.22629 (2025)

Finite-time scaling on low-dimensional map bifurcations, Martin DA, Tang QY, Chialvo DR arXiv preprint arXiv:2505.24673 (2025)

Behavior of the scaling correlation functions under severe subsampling. Camargo S, Zamponi N, Martin DA, Turova T, Grigera TS, Tang QY, Chialvo DR. Physical Rev. E (2025) PhysRevE.112.014301.pdf , also arXiv preprint arXiv:2504.03203

Trial-by-trial variability in cortical responses exhibits scaling in spatial correlations predicted from critical dynamics. Ribeiro, TL, Jendrichovsky P, Yu S., Martin DA, Kanold PA, Chialvo DR, Plenz D. Cell Reports (2024) Article

Mean-field solution of the neural dynamics in a Greenberg-Hastings model with excitatory and inhibitory units. Almeira J, Grigera TS, Martin DA, Chialvo DR, Cannas SA. arXiv preprint arXiv:2312.17645 (2023).

Scale-free correlations in the dynamics of a small (N ~ 10000) cortical network. Camargo S, Martin DA, Aguilar Trejo, E, De Florian A, Nowak MA, Cannas SA, Grigera TS, Chialvo DR. (2022) https://arxiv.org/abs/2206.07797 Physical Review E (2023) PhysRevE.108.034302.pdf

Self-Tuned criticality: Controlling a neuron near its bifurcation point via temporal correlations. JT Moraes, E. Aguilar Trejo, S Camargo, S Ferreira, DR Chialvo. https://arxiv.org/abs/2206.10000 Physical Review E (2023) PhysRevE.107.034204.pdf

Finite-size correlation behavior near a critical point: a simple metric for monitoring the state of a neural network. Aguilar Trejo, E, Martin D.A, ...Cannas SA, Grigera TS, Chialvo DR. Physical Review E (2022) PhysRevE.106.054313.pdf

Learning by mistakes in memristor networks. JP Carbajal, DA Martin, DR Chialvo. Physical Review E, (2022) Download.pdf

Similar neuronal dynamics may lead to different collective behavior. M. Sanchez Diaz, E.J. Aguilar Trejo, D.A. Martin, SA. Cannas, TS Grigera, DR Chialvo. Physical Rev. E (2021) Download.pdf

Box scaling as a proxy of finite size correlations. Daniel A. Martin, Tiago L. Ribeiro, Sergio A. Cannas, Tomas S. Grigera, Dietmar Plenz, Dante R. Chialvo Scientific Reports (2021) Article

Controlling a complex system near its critical point via temporal correlations. Dante R. Chialvo, Sergio A. Cannas, Tomás S. Grigera, Daniel A. Martin, Dietmar Plenz Scientific Reports (2020) Article