Controlling turbulence in the complex Ginzburg-Landau equation

D Battogtokh, A Mikhailov - Physica D: Nonlinear Phenomena, 1996 - Elsevier
… a similar method for controlling turbulence in distributed dy… one-dimensional complex
Ginzburg-Landau equation can be … The complex Ginzburg-Landau equation (CGLE) represents a …

Controlling turbulence in the complex Ginzburg-Landau equation

J Xiao, G Hu, J Yang, J Gao - Physical review letters, 1998 - APS
… the CGLE (2) is in a turbulence region, and now our central task is to perform turbulence
control by making local feedback injections (pinnings) at a few points in x space in Eq. (2), and …

Controlling turbulence in the complex Ginzburg-Landau equation II. Two-dimensional systems

D Battogtokh, A Preusser, A Mikhailov - Physica D: Nonlinear Phenomena, 1997 - Elsevier
… in oscillatory distributed systems can be controlled by introducing a delayed global … on
turbulence in two-dimensional systems described by the complex Ginzburg-Landau equation. …

On the possibility of soft and hard turbulence in the complex Ginzburg-Landau equation

M Bartuccelli, P Constantin, CR Doering… - Physica D: Nonlinear …, 1990 - Elsevier
… Long time upper bounds on F 2 and Ilal1-2 (and hence all F n) are well controlled in the soft
region … BartucceUi et at / Soft and hard turbulence in the complex Ginzburg-Landau equation

Nonlinear dynamical regimes and control of turbulence through the complex ginzburg-landau equation

JBG Tafo, L Nana, CB Tabi… - Research Advances in …, 2020 - books.google.com
… conditions, obeying the complex Ginzburg-Landau (CGL) equation, is studied numerically
Controlling such regimes remains a great challenge; many methods such as the nonlinear …

Conjectures about phase turbulence in the complex Ginzburg-Landau equation

G Grinstein, C Jayaprakash, R Pandit - Physica D: Nonlinear Phenomena, 1996 - Elsevier
… In the complex Ginzburg-Landau equation, we consider possible "phase turbulent"
regimes, where asymptotic correlations are controlled by phase fluctuations rather than by …

The complex GinzburgLandau equation: an introduction

V García-Morales, K Krischer - Contemporary Physics, 2012 - Taylor & Francis
… The parameter g i controls the strength of the nonlinear effects … Equation (24) is the Complex
GinzburgLandau equation. If … This kind of turbulent behaviour is called defect turbulence

Model reduction of the nonlinear complex GinzburgLandau equation

M Ilak, S Bagheri, L Brandt, CW Rowley… - SIAM Journal on Applied …, 2010 - SIAM
… The complex GinzburgLandau (CGL) equation is a 1D nonlinear PDE that exhibits a Hopf
bifurcation. Extensive work over the past few decades has established the CGL equation as a …

The complex Ginzburg-Landau equation as a model problem

CD Levermore, M Oliver - … methods in partial differential equations …, 1996 - books.google.com
… for" turbulent" dynamics in nonlinear partial differential equations. It is … equation is the
generalized complex Ginzburg-Landau (CGL) equation, which describes the evolution of a complex

Turbulence control by developing a spiral wave with a periodic signal injection in the complex ginzburg-landau equation

H Zhang, B Hu, G Hu, Q Ouyang, J Kurths - Physical Review E, 2002 - APS
complex Ginzburg-Landau equation CGLE has been extensively used for the study of turbulence
and turbulence … In the following we focus on controlling turbulence in the region for C2 …