Pattern formation outside of equilibrium

MC Cross, PC Hohenberg - Reviews of modern physics, 1993 - APS
A comprehensive review of spatiotemporal pattern formation in systems driven away from
equilibrium is presented, with emphasis on comparisons between theory and quantitative …

The world of the complex Ginzburg-Landau equation

IS Aranson, L Kramer - Reviews of modern physics, 2002 - APS
Abstract The cubic complex Ginzburg-Landau equation is one of the most-studied nonlinear
equations in the physics community. It describes a vast variety of phenomena from nonlinear …

Complex patterns in a simple system

JE Pearson - Science, 1993 - science.org
Numerical simulations of a simple reaction-diffusion model reveal a surprising variety of
irregular spatiotemporal patterns. These patterns arise in response to finite-amplitude …

Recent developments in Rayleigh-Bénard convection

E Bodenschatz, W Pesch… - Annual review of fluid …, 2000 - annualreviews.org
▪ Abstract This review summarizes results for Rayleigh-Bénard convection that have been
obtained over the past decade or so. It concentrates on convection in compressed gases …

Modulation instability: the beginning

VE Zakharov, LA Ostrovsky - Physica D: Nonlinear Phenomena, 2009 - Elsevier
We discuss the early history of an important field of “sturm and drang” in modern theory of
nonlinear waves. It is demonstrated how scientific demand resulted in independent and …

Front propagation into unstable states

W Van Saarloos - Physics reports, 2003 - Elsevier
This paper is an introductory review of the problem of front propagation into unstable states.
Our presentation is centered around the concept of the asymptotic linear spreading velocity …

Ginzburg–Landau models of nonlinear electric transmission networks

E Kengne, WM Liu, LQ English, BA Malomed - Physics Reports, 2022 - Elsevier
Abstract Complex Ginzburg–Landau (CGL) equations serve as canonical models in a great
variety of physical settings, such as nonlinear photonics, dynamical phase transitions …

[BOOK][B] Nonlinear optics

A Newell - 2018 - taylorfrancis.com
NONLINEAR OPTICS Page 1 Page 2 NONLINEAR OPTICS Page 3 Page 4 NONLINEAR
OPTICS Jerome Moloney Alan Newell Advanced Book Program CRC Press Taylor & Francis …

[BOOK][B] Rayleigh-B nard convection: structures and dynamics

AV Getling - 1998 - books.google.com
This invaluable book presents a concise but systematic account of the formation of spatial
flow structures in a horizontal fluid layer heated from below. Flows of this type, known as …

Dissipative structures and weak turbulence

P Manneville - Chaos—The Interplay Between Stochastic and …, 2005 - Springer
We present a brief overview of the current understanding of temporal and spatio-temporal
chaos, both termed weak turbulence according to the context [1]. The process which allows …