Results 51 to 60 of about 23,473 (246)
Hole Structures in Nonlocally Coupled Noisy Phase Oscillators
, 2007 We demonstrate that a system of nonlocally coupled noisy phase oscillators can collectively exhibit a hole structure, which manifests itself in the spatial phase distribution of the oscillators.
A. Pikovsky +10 more
core +1 more source
Global attractors for the complex Ginzburg–Landau equation
Journal of Mathematical Analysis and Applications, 2014 This paper studies the following initial-boundary value for the complex Ginzburg-Landau equation \[ \begin{aligned} \frac{\partial u}{\partial t}-(\lambda+i \alpha)\Delta & u+(\kappa+i\beta)|u|^{p-2}u-\gamma u=0,\;\;(x,t)\in \Omega\times \mathbb{R}^+,\\ & u=0,\;\;(x,t)\in \partial \Omega\times \mathbb{R}^+,\\ & u(x,0)=u_0(x),\;\;x \in \Omega,\end ...
Li, Fang, You, Bo
openaire +2 more sources
Oscillatory magneto-convection under magnetic field modulation
Alexandria Engineering Journal, 2018 In this paper we investigate an oscillatory mode of nonlinear magneto-convection under time dependant magnetic field. The time dependant magnetic field consists steady and oscillatory parts.
Palle Kiran +2 more
doaj +1 more source
Optical Solitons with the Complex Ginzburg–Landau Equation with Kudryashov’s Law of Refractive Index
Mathematics, 2022 In this paper, the optical solitons for the complex Ginzburg–Landau equation with Kudryashov’s law of refractive index are established. An improved modified extended tanh–function technique is used to extract numerous solutions. Bright and dark solitons,
Ahmed H. Arnous, Luminita Moraru
doaj +1 more source
Dynamics of vortices for the complex Ginzburg–Landau equation [PDF]
Analysis & PDE, 2009 We study a complex Ginzburg-Landau equation in the plane, which has the form of a Gross-Pitaevskii equation with some dissipation added. We focus on the regime corresponding to well-prepared unitary vortices and derive their asymptotic motion law.
openaire +3 more sources
Attractive Interaction Between Pulses in a Model for Binary-Mixture Convection
, 1995 Recent experiments on convection in binary mixtures have shown that the interaction between localized waves (pulses) can be repulsive as well as {\it attractive} and depends strongly on the relative {\it orientation} of the pulses.
B. Malomed +21 more
core +1 more source
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
openaire +2 more sources
Journal of Ocean Engineering and Science, 2020 It is well known that there is a deep connection between the symmetric and traveling wave solutions. It has been shown that all symmetric waves are traveling waves.
Rabha W. Ibrahim +3 more
doaj +1 more source
, 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
core +1 more source
Stochastic and Higher-Order Effects on Exploding Pulses
Applied Sciences, 2017 The influence of additive noise, multiplicative noise, and higher-order effects on exploding solitons in the framework of the prototype complex cubic-quintic Ginzburg-Landau equation is studied.
Orazio Descalzi, Carlos Cartes
doaj +1 more source