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 …

The aim of this Book is to give an overview, based on the results of nearly three decades of
intensive research, of transient chaos. One belief that motivates us to write this book is that …

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 …

Fluid dynamics turbulence refers to the chaotic and unpredictable dynamics of flows.
Despite the fact that the equations governing the motion of fluids are known since more than …