4 papers
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…
Data-driven inference of brain dynamical states from the r-spectrum of correlation matrices
Christopher Gabaldon, Adria Mulero, Rong Wang +6
We present a data-driven framework to characterize large-scale brain dynamical states directly from correlation matrices at the single-subject level. By treating correlation thresh…
Finite-time scaling on low-dimensional map bifurcations
Daniel A. Martin, Qian-Yuan Tang, Dante R. Chialvo
Recent work has introduced the concept of finite-time scaling to characterize bifurcation diagrams at finite times in deterministic discrete dynamical systems, drawing an analogy w…
Behavior of the scaling correlation functions under severe subsampling
Sabrina Camargo, Nahuel Zamponi, Daniel A. Martin +4
Scale-invariance is a ubiquitous observation in the dynamics of large distributed complex systems. The computation of its scaling exponents, which provide clues on its origin, is o…