Predictability: a way to characterize complexity

G Boffetta, M Cencini, M Falcioni, A Vulpiani - Physics reports, 2002 - Elsevier
Different aspects of the predictability problem in dynamical systems are reviewed. The deep
relation among Lyapunov exponents, Kolmogorov–Sinai entropy, Shannon entropy and …

[BOOK][B] Neurodynamics: an exploration in mesoscopic brain dynamics

W Freeman - 2000 - books.google.com
Cortical evoked potentials are of interest primarily as tests of changing neuronal
excitabilities accompanying normal brain function. The first three steps in the anal ysis of …

[BOOK][B] Chaos: from simple models to complex systems

A Vulpiani - 2010 - books.google.com
Chaos: from simple models to complex systems aims to guide science and engineering
students through chaos and nonlinear dynamics from classical examples to the most recent …

The wave packet: an action potential for the 21st century

WJ Freeman - Journal of integrative neuroscience, 2003 - World Scientific
Sensing and perceiving involve enormous numbers of widely distributed dendritic and
action potentials in cortex, before, during and after stimulus arrival but with differing …

[BOOK][B] Complex Systems: Chaos and Beyond: Chaos and Beyond: A Constructive Approach with Applications in Life Sciences

K Kaneko, I Tsuda - 2001 - books.google.com
Chaos in science has always been a fascinating realm since it challenges the usual
scientific approach of reductionism. While carefully distinguishing between complexity …

Collective chaos in pulse-coupled neural networks

S Olmi, A Politi, A Torcini - Europhysics Letters, 2011 - iopscience.iop.org
We study the dynamics of two symmetrically coupled populations of identical leaky integrate-
and-fire neurons characterized by an excitatory coupling. Upon varying the coupling …

Chaos or noise: Difficulties of a distinction

M Cencini, M Falcioni, E Olbrich, H Kantz, A Vulpiani - Physical Review E, 2000 - APS
In experiments, the dynamical behavior of systems is reflected in time series. Due to the
finiteness of the observational data set, it is not possible to reconstruct the invariant measure …

Asynchronous and coherent dynamics in balanced excitatory-inhibitory spiking networks

H Bi, M Di Volo, A Torcini - Frontiers in systems neuroscience, 2021 - frontiersin.org
Dynamic excitatory-inhibitory (EI) balance is a paradigmatic mechanism invoked to explain
the irregular low firing activity observed in the cortex. However, we will show that the EI …

Finite size Lyapunov exponent: review on applications

M Cencini, A Vulpiani - Journal of Physics A: Mathematical and …, 2013 - iopscience.iop.org
In dynamical systems, the growth of infinitesimal perturbations is well characterized by the
Lyapunov exponents. In many situations of interest, however, important phenomena involve …

Irregular collective behavior of heterogeneous neural networks

S Luccioli, A Politi - Physical review letters, 2010 - APS
We investigate a network of integrate-and-fire neurons characterized by a distribution of
spiking frequencies. Upon increasing the coupling strength, the model exhibits a transition …