Instability of Ginzburg-Landau Vortices on Manifolds
We investigate two settings of Ginzburg-Landau posed on a manifold where vortices are unstable. The first is an instability result for critical points with vortices of the Ginzburg-Landau energy posed on a simply connected, compact, closed 2-manifold ...
Ko-shin Chen
core
Coarse graining from variationally enhanced sampling applied to the Ginzburg-Landau model. [PDF]
Invernizzi M, Valsson O, Parrinello M.
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A logarithmic extension of the Hölder inequality
We prove a logarithmic extension of the Höllder inequality, motivated by an application to the complex Ginzburg–Landau equation.
Velo G, Ginibre J
doaj
Numerical Analysis and Simulation for a Generalized Planar Ginzburg-Landau Equation in a Circular Geometry. [PDF]
Colbert-Kelly S +3 more
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A hybrid analytical-machine learning framework for data-driven modeling of soliton solutions in the complex Ginzburg-Landau equation. [PDF]
Muhammad J, Tedjani AH, Yao F, Younas U.
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Analytical wave families and stability dynamics in a modified complex Ginzburg-Landau model via the modified extended direct algebraic method. [PDF]
Rateb AE +4 more
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Novel asymmetric representation method for solving the higher-order Ginzburg-Landau equation. [PDF]
Wong P, Pang L, Wu Y, Lei M, Liu W.
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Implicit quiescent soliton perturbation in optical metamaterials with complex Ginzburg-Landau equation having nonlinear chromatic dispersion and Kudryashov's forms of self-phase modulation structures by lie symmetry. [PDF]
Adem AR +5 more
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Automated identification of the origin of energy loss in nonoriented electrical steel by feature extended Ginzburg-Landau free energy framework. [PDF]
Taniwaki M +14 more
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Optical soliton perturbation with complex ginzburg-landau equation having multiplicative white noise and nine forms of self-phase modulation structures. [PDF]
Zayed EME +8 more
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