Results 41 to 50 of about 36,135 (246)
Fractal modification of complex Ginzburg–Landau model arising in the oscillating phenomena
Results in Physics, 2020 The complex Ginzburg-Landau Equation (CGLE) is one of the non-trivial models for addressing the dynamics of oscillating, highly nonlinear processes right before the start of oscillations. This paper presents the complex Ginzburg-Landau fractal model with
Yasir Khan
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Ginzburg–Landau Equation with DeGennes Boundary Condition
Journal of Differential Equations, 1996 Let \(\Omega\) be a bounded domain in \(\mathbb{R}^2\) and \(\varepsilon>0\), \(\gamma(\varepsilon)\) be parameters. The authors study the following semilinear elliptic boundary value problem \[ \varepsilon^2\Delta u+(1- u^2)u\quad\text{in }\Omega,\quad {\partial u\over\partial\nu}+ \gamma(\varepsilon)u=0\quad\text{on }\partial\Omega\tag{1} \] and its ...
Lu, Kening, Pan, Xing-Bin
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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
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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
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Topological Landau-Ginzburg Theory for Vortices in Superfluid $^4$He
, 1993 We propose a new Landau-Ginzburg theory for arbitrarily shaped vortex strings in superfluid $^4$He. The theory contains a topological term and directly describes vortex dynamics.
A. L. Fetter +25 more
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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
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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
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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
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, 2004 Equations built on fractional derivatives prove to be a powerful tool in the description of complex systems when the effects of singularity, fractal supports, and long-range dependence play a role.
Milovanov, Alexander V. +1 more
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Fractional Generalization of Kac Integral
, 2007 Generalization of the Kac integral and Kac method for paths measure based on the Levy distribution has been used to derive fractional diffusion equation.
Chaichian +42 more
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