Turbulent flows are characterized by the non-linear cascades of energy and other inviscid
invariants across a huge range of scales, from where they are injected to where they are …

Abstract Complex Ginzburg–Landau (CGL) equations serve as canonical models in a great
variety of physical settings, such as nonlinear photonics, dynamical phase transitions …

In recent years, stylized forms of the Boltzmann equation, now going by the name of" Lattice
Boltzmann equation"(LBE), have emerged, which relinquish most mathematical complexities …

This text provides an introduction to the exciting new developments in chaos and related
topics in nonlinear dynamics, including the detection and quantification of chaos in …

Chaotic dynamics can be considered as a physical phenomenon that bridges the regular
evolution of systems with the random one. These two alternative states of physical …

In this review we will focus on a topic of fundamental importance for both astrophysics and
plasma physics, namely the occurrence of large-amplitude low-frequency fluctuations of the …

The understanding of fluid turbulence has considerably progressed in recent years. The
application of the methods of statistical mechanics to the description of the motion of fluid …

General aspects of the Fluctuation–Dissipation Relation (FDR), and Response Theory are
considered. After analyzing the conceptual and historical relevance of fluctuations in …

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 …

We review the general aspects of the concept of temperature in equilibrium and non-
equilibrium statistical mechanics. Although temperature is an old and well-established …