Results 141 to 150 of about 1,498 (185)

Signature of Quantum Phase Slips in a Layered Quasi-One-Dimensional Nb<sub>2</sub>PdS<sub>5</sub> Superconductor. [PDF]

open access: yesACS Nanosci Au
Jha R   +6 more
europepmc   +1 more source

Dynamic Bifurcation of the Ginzburg--Landau Equation

SIAM Journal on Applied Dynamical Systems, 2004
Summary: We study in this article the bifurcation and stability of the solutions of the Ginzburg-Landau equation, using a notion of bifurcation called attractor bifurcation. We obtain in particular a full classification of the bifurcated attractor and the global attractor as \(\lambda\) crosses the first critical value of the linear problem ...
Shouhong Wang, Jungho Park
exaly   +2 more sources

A Bifurcation Analysis for the Ginzburg-Landau Equation

Archive for Rational Mechanics and Analysis, 1998
The authors consider the following boundary-value problem for the Ginzburg-Landau equation \[ \begin{aligned}-\Delta u={1\over\varepsilon^2} u_\varepsilon(1-|u_\varepsilon|^2)\quad &\text{in }B,\\ u_\varepsilon(z)= z^d\quad &\text{on }\partial B,\end{aligned}\tag{1} \] where \(B\) is the unit ball of \(\mathbb{R}^2\), \(d\in\mathbb{N}^*\) and ...
Comte, Myriam, Mironescu, Petru
openaire   +1 more source

On the Ginzburg-Landau Wave Equation

Bulletin of the London Mathematical Society, 1990
Consider the initial value problem of the Ginzburg-Landau wave equation with a general power self-interaction term: \[ (*)\quad \phi_ t=(1+i\alpha)\Delta \phi +(1+i\beta)\phi -(1+i\gamma)| \phi |^{\mu -1}\phi,\quad x\in {\mathbb{R}}^ n,\quad t>0, \] \[ \phi (x,0)=\phi_ 0(x),\quad x\in {\mathbb{R}}^ n, \] where \(\phi\) is a complex scalar function ...
openaire   +1 more source

Small energy solutions to the Ginzburg–Landau equation

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F. Bethuel   +2 more
openaire   +2 more sources

Onset of chaos in the generalized Ginzburg-Landau equation

Physical Review A, 1990
Study of chaos in the generalized Ginzburg-Landau equation (GLE) $$ {\text{iu}}_{\text{t}} + {\text{u}}_{{\text{xx}}} + 2\left| {\text{u}} \right|^{\text{2}} {\text{u}} = {\text{i}} \in _1 {\text{u}} - {\text{i}} \in _3 \left| {\text{u}} \right|^2 {\text{u}} + {\text{i}} \in _2 u_{{\text{xx}}} $$ (1) is a subject of great current interest ...
, Malomed, , Nepomnyashchy
openaire   +2 more sources

The Ginzburg–Landau equation for interfacial instabilities

Physics of Fluids A: Fluid Dynamics, 1992
A coherent method for pursuing a numerical multiple scales analysis of an interface problem is presented. Finding numerical boundary conditions for the homogeneous adjoint problem and evaluation of surface terms in the inhomogeneous solvability criteria is reduced to one singular value decomposition. The method is applied to derive the complex Ginzburg–
openaire   +2 more sources

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