Results 31 to 40 of about 33,545 (214)

Integrability and chaotic dynamics in nonlinear dispersive stochastic model

Results in Applied Mathematics
This paper focuses on obtaining exact solutions and dynamical analysis of the stochastic real-valued Ginzburg–Landau equation driven by multiplicative Itô noise.
Muhammad Aziz-ur-Rehman, Muhammad Moneeb Tariq, Ayesha Zafar, Muhammad Bilal Riaz   +3 more
doaj   +1 more source

Multistable Pulse-like Solutions in a Parametrically Driven Ginzburg-Landau Equation [PDF]

, 2003
It is well known that pulse-like solutions of the cubic complex Ginzburg-Landau equation are unstable but can be stabilised by the addition of quintic terms.
A. Mecozzi, B. Denardo, B.A. Malomed, B.A. Malomed, B.A. Malomed, Boris A. Malomed, C. Elphick, C. Elphick, C. Utzny, D. Cai, G. Huang, G.-L. Oppo, G.J. de Valcárcel, H. Sakaguchi, I. V. Barashenkov, I.S. Aranson, I.V. Barashenkov, I.V. Barashenkov, I.V. Barashenkov, J. Yu, J.W. Miles, K. Staliunas, L.S. Tsimring, M. Bondila, M.C. Cross, N.V. Alexeeva, N.V. Alexeeva, O. Thual, P. Coullet, P. Coullet, P. Coullet, P. Coullet, R. Driben, S. Cross, S. Fauve, S. Longhi, S. Longhi, S. Longhi, S. Longhi, S. Longhi, S. Longhi, S. Longhi, S.-Y. Lou, S.V. Kiyashko, T. Frisch, T. Frisch, V. Hakim, V.S. Shchesnovich, W. Chen, W. Zhang, X. Wang   +50 more
core   +1 more source

Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains

Abstract and Applied Analysis, 2014
We prove the existence of a pullback attractor in L2(ℝn) for the stochastic Ginzburg-Landau equation with additive noise on the entire n-dimensional space ℝn.
Qiuying Lu, Guifeng Deng, Weipeng Zhang
doaj   +1 more source

Study of heat and mass transport in Couple-Stress liquid under G-jitter effect

Ain Shams Engineering Journal, 2018
In the present paper, we deal with the effect of G-jitter (time periodic gravity modulation) on the stability of double diffusive convection in couple stress liquid by method of non-linear analysis. The infinitesimal disturbances are expanded in terms of
Anand Kumar, Vanita, Vinod K. Gupta
doaj   +1 more source

A Stochastic Generalized Ginzburg-Landau Equation Driven by Jump Noise

, 2017
This paper is concerned with the stochastic generalized Ginzburg-Landau equation driven by a multiplicative noise of jump type. By a prior estimate, weak convergence and monotonicity technique, we prove the existence and uniqueness of the solution of an ...
Gao, Hongjun, Lin, Lin
core   +1 more source

Instabilities in a Non-Uniformly Rotating Medium with Stratification of the Temperature in an External Uniform Magnetic Field

East European Journal of Physics, 2019
In this paper the stability of the non-uniformly rotating cylindrical plasma in the axial uniform magnetic field with the vertical temperature gradient is investigated.
Michael Kopp, Anatoly Tur, Volodymyr Yanovsky   +2 more
doaj   +1 more source

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
openaire   +2 more sources

Pullback attractors for the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian

Nonlinear Analysis, 2015
In this paper, we are concerned with the long-time behavior of the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian. We first prove the existence of pullback absorbing sets in L2(Ω)∩W01,p(Ω)∩Lq(Ω) for the process {U(t,τ)}t⩾τ ...
Fang Li, Bo You
doaj   +1 more source

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
doaj   +1 more source

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, A. T. Winfree, C. W. Gardiner, H. Mori, H. Risken, N. Bekki, S. C. Manrubia, Y. Kuramoto, Y. Kuramoto, Y. Kuramoto, Yoji Kawamura   +10 more
core   +1 more source