Results 41 to 50 of about 33,545 (214)
Modulation equations near the Eckhaus boundary: the KdV equation [PDF]
, 2018 We are interested in the description of small modulations in time and space of wave-train solutions to the complex Ginzburg-Landau equation \begin{align*} \partial_T \Psi = (1+ i \alpha) \partial_X^2 \Psi + \Psi - (1+i \beta ) \Psi |\Psi|^2, \end{align*}
de Rijk, Björn +2 more
core +3 more sources
Phase synchronization of coupled Ginzburg-Landau equations
Physical Review E, 2000 The occurrence of phase synchronization of a pair of unidirectionally coupled nonidentical Ginzburg-Landau equations is demonstrated and characterized using cyclic and extended phases. Furthermore, it is shown that weak coupling first leads to frequency synchronization and later to phase synchronization.
Junge, L., Parlitz, Ulrich
openaire +3 more sources
Complex Ginzburg–Landau Equation with Generalized Finite Differences
Mathematics, 2020 In this paper we obtain a novel implementation for irregular clouds of nodes of the meshless method called Generalized Finite Difference Method for solving the complex Ginzburg–Landau equation.
Eduardo Salete +5 more
doaj +1 more source
Dual Variational Formulations for a Large Class of Non-Convex Models in the Calculus of Variations
Mathematics, 2022 This article develops dual variational formulations for a large class of models in variational optimization. The results are established through basic tools of functional analysis, convex analysis and duality theory.
Fabio Silva Botelho
doaj +1 more source
Uniqueness of the Invariant Measure for a Stochastic PDE Driven by Degenerate Noise
, 2000 We consider the stochastic Ginzburg-Landau equation in a bounded domain. We assume the stochastic forcing acts only on high spatial frequencies. The low-lying frequencies are then only connected to this forcing through the non-linear (cubic) term of the ...
Eckmann, Jean-Pierre, Hairer, Martin
core +2 more sources
Spatially Modulated Morphotropic Phase Boundaries in a Compressively Strained Multiferroic Thin Film
Advanced Functional Materials, EarlyView.ABSTRACT The coexisting rhombohedral‐like (R′, MA) and tetragonal‐like (T′, MC) monoclinic phases in compressively strained bismuth ferrite thin films exhibit exceptional piezoelectric and magnetic properties. While previous studies have largely focused on probing the morphotropic phase boundaries (MPBs) comprising ordered R′/T′ twins, their self ...
Ting‐Ran Liu +7 more
wiley +1 more source
On the theory of current states in superconducting junctions of SNINS type
Condensed Matter Physics, 2006 The behavior of the order parameter close to the NS interface in an SNINS junction is considered. To this end, a linear integral equation, which is valid near the superconductor-normal metal interface, is obtained and researched.
V.E.Sakhnyuk, A.V.Svidzynskyj
doaj +1 more source
Results in Physics, 2022 This paper secures exact solutions from perturbed complex Ginzburg–Landau equation that is taken into account with Kerr law and cubic–quintic–septic nonlinearity.
Ming-Yue Wang
doaj +1 more source
Ginzburg-Landau-type theory of non-polarized spin superconductivity
, 2017 Since the concept of spin superconductor was proposed, all the related studies concentrate on spin-polarized case. Here, we generalize the study to spin-non-polarized case.
Bao, Zhi-qiang +4 more
core +2 more sources
Decoding THz‐Driven Dynamic Fingerprints of Ferroelectric Nanotwin Networks
Advanced Materials, EarlyView.ABSTRACT Ultrafast polarization dynamics in ferroelectrics are of considerable interest for high‐speed tunable dielectrics and electro‐optics. Extended domain wall networks formed in ferroelectric twin nanodomains can support collective dynamics in the terahertz regime but require techniques that track polarization and strain evolution driven by ...
Xiaojiang Li +20 more
wiley +1 more source