… 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 …
… in oscillatory distributed systems can be controlled by introducing a delayed global … on turbulence in two-dimensional systems described by the complexGinzburg-Landauequation. …
… 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 complexGinzburg-Landauequation …
JBG Tafo, L Nana, CB Tabi… - Research Advances in …, 2020 - books.google.com
… conditions, obeying the complexGinzburg-Landau (CGL) equation, is studied numerically … Controlling such regimes remains a great challenge; many methods such as the nonlinear …
G Grinstein, C Jayaprakash, R Pandit - Physica D: Nonlinear Phenomena, 1996 - Elsevier
… In the complexGinzburg-Landauequation, we consider possible "phase turbulent" regimes, where asymptotic correlations are controlled by phase fluctuations rather than by …
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 Ginzburg–Landauequation. If … This kind of turbulent behaviour is called defect turbulence …
… The complexGinzburg–Landau (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 …
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 complexGinzburg-Landau (CGL) equation, which describes the evolution of a complex…
H Zhang, B Hu, G Hu, Q Ouyang, J Kurths - Physical Review E, 2002 - APS
… complexGinzburg-Landauequation CGLE has been extensively used for the study of turbulence and turbulence … In the following we focus on controllingturbulence in the region for C2 …