In this article we review classical and recent results in anomalous diffusion and provide
mechanisms useful for the study of the fundamentals of certain processes, mainly in …

Clock synchronization is critically important in positioning, navigation and timing systems.
While its performance has been intensively studied in a wide range of disciplines, much less …

A model of coupled molecular biochemical oscillators is proposed to study non-equilibrium
thermodynamics of synchronization. Under general considerations, we find that chemical …

We prove a linear stability-dissipation relation (SDR) for q-state Potts models driven far from
equilibrium by a nonconservative force. At a critical coupling strength, these models exhibit a …

Continuous energy pumping and exchange along the coupling channel can balance the
energy release between nonlinear oscillators for reaching complete synchronisation. When …

In this review, we scrutinize historical and modern results on the linear response of dynamic
systems to external perturbations and the celebrated relationship between fluctuations and …

The impact of noise in coupled oscillators with pairwise interactions has been extensively
explored. Here, we study stochastic second-order coupled Kuramoto oscillators with higher …

We prove a linear stability-dissipation relation (SDR) for $ q $-state Potts models driven far
from equilibrium by a nonconservative force. At a critical coupling strength, these models …

In this work, we derive a deterministic equation for a generalized nonlocal population
dynamics that depends fundamentally on two lengths parameters (α, β). We associate these …

Neste trabalho desenvolvemos um método para obter a equação de KardarParisi-Zhang
(KPZ) a partir do modelo de corrosão (Etching Model) desenvolvido por Mello et al. O …