Results 11 to 20 of about 2,507 (215)
Nonequilibrium dynamics in the complex Ginzburg-Landau equation [PDF]
Physical Review E, 2001 11 pages, 5 ...
Puri, Sanjay +2 more
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Bistability in the complex Ginzburg–Landau equation with drift [PDF]
Physica D: Nonlinear Phenomena, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Houghton, S.M. +3 more
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Standing waves of the complex Ginzburg–Landau equation [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2014 We prove the existence of nontrivial standing wave solutions of the complex Ginzburg-Landau equation $ϕ_t = e^{iθ} Δϕ+ e^{iγ} |ϕ|^αϕ$ with periodic boundary conditions. Our result includes all values of $θ$ and $γ$ for which $\cos θ\cos γ>0$, but requires that $α>0$ be sufficiently small.
Cazenave, Thierry +2 more
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Null controllability of the complex Ginzburg–Landau equation
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2009 The paper investigates the boundary controllability, as well as the internal controllability, of the complex Ginzburg–Landau equation. Zero-controllability results are derived from a new Carleman estimate and an analysis based upon the theory of sectorial operators. Résumé Dans ce papier on étudie la contrôlabilité au
Rosier, Lionel, Zhang, Bing-Yu
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ON THE COMPLEX GINZBURG–LANDAU EQUATION WITH A DELAYED FEEDBACK [PDF]
Mathematical Models and Methods in Applied Sciences, 2006 We show how to stabilize the uniform oscillations of the complex Ginzburg–Landau equation with periodic boundary conditions by means of some global delayed feedback. The proof is based on an abstract pseudo-linearization principle and a careful study of the spectrum of the linearized operator.
Casal, A. C., Díaz, J. I.
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Analytic Solutions of 2D Cubic Quintic Complex Ginzburg-Landau Equation
Journal of Applied Mathematics, 2023 The dynamical behaviour of traveling waves in a class of two-dimensional system whose amplitude obeys the two-dimensional complex cubic-quintic Ginzburg-Landau equation is deeply studied as a function of parameters near a subcritical bifurcation.
F. Waffo Tchuimmo +5 more
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Pullback attractors for the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian
Nonlinear Analysis, 2015 In this paper, we are concerned with the long-time behavior of the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian. We first prove the existence of pullback absorbing sets in L2(Ω)∩W01,p(Ω)∩Lq(Ω) for the process {U(t,τ)}t⩾τ ...
Fang Li, Bo You
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Dynamics of defects in the vector complex Ginzburg–Landau equation [PDF]
Physica D: Nonlinear Phenomena, 2003 35 pages of LATeX, using the elsart macros. Includes 17 (large) figures. Related material, including movies and higher resolution figures, available at http://www.imedea.uib.es/PhysDept/Nonlinear/research_topics/Vcgl2/
Hoyuelos, Miguel +4 more
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Machine-Learning-Guided Design of Incommensurate Antiferroelectrics via Field-Driven Phase Engineering. [PDF]
Adv Sci (Weinh)The key to enhancing the energy storage performance of antiferroelectrics lies in regulating the phase transition and reverse phase transition. A phase‐field‐machine learning framework is employed to predict the energy storage performance of Pb‐based incommensurate antiferroelectrics with multi‐scale regulation strategy, thereby revealing the dynamic ...
Xu K +9 more
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Multisoliton Solutions of the Complex Ginzburg-Landau Equation [PDF]
Physical Review Letters, 1997 We present novel stable solutions which are soliton pairs and trains of the ID complex Ginzburg-Landau equation (CGLE), and analyze them. We propose that the distance between the pulses and the phase difference between them is defined by energy and momentum balance equations.
Akhmediev, N. +2 more
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