The evolution towards equipartition in the β-FPU chain is studied considering as initial condition
the highest frequency mode. Above an analytically derived energy threshold, this zone-…

The dynamical phases of the Hindmarsh-Rose neuronal model are analyzed in detail by
varying the external current I⁠. For increasing current values, the model exhibits a peculiar …

We report finite-size numerical investigations and mean-field analysis of a Kuramoto model
with inertia for fully coupled and diluted systems. In particular, we examine, for a gaussian …

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 …

Two symmetrically coupled populations of N oscillators with inertia m display chaotic solutions
with broken symmetry similar to experimental observations with mechanical pendulums. …

Theta-nested gamma oscillations have been reported in many areas of the brain and are
believed to represent a fundamental mechanism to transfer information across spatial and …

We report a transition from asynchronous to oscillatory behavior in balanced inhibitory
networks for class I and II neurons with instantaneous synapses. Collective oscillations emerge …

Lorentzian distributions have been largely employed in statistical mechanics to obtain exact
results for heterogeneous systems. Analytic continuation of these results is impossible even …

The dynamical behavior of a weakly diluted fully inhibitory network of pulse-coupled spiking
neurons is investigated. Upon increasing the coupling strength, a transition from regular to …

… The program of the workshop as well as the contents of this book was organized and edited
by Alessandro Torcini and Fernando Corinto, both members of our society. I wish to thank for …