Results 111 to 120 of about 2,462 (177)

Turbulence in the One-Dimensional Complex Ginzburg-Landau Equation

, 1995
The transition to phase and amplitude turbulent states in the one-dimensional complex Ginzburg-Landau equation is investigated by a numerical simulation. In order to describe existing attractors quantitatively, the largest Lyapunov exponent is estimated.
Zubrzycki, A.
core  

Dynamics of defects in the vector complex Ginzburg-Landau equation

, 2003
ArXiv pre-print: http://arxiv.org/abs/nlin.PS/011001722 pages, 17 figures, 1 appendix.-- Pre-print archive.Coupled Ginzburg-Landau equations appear in a variety of contexts involving instabilities in oscillatory media. When the relevant unstable mode is
Colet, Pere, Hernández-García, Emilio, San Miguel, Maxi, Hoyuelos, Miguel   +3 more
core   +1 more source

Bifurcation to Chaos in the complex Ginzburg-Landau equation with large third-order dispersion

, 2014
We give an analytic proof of the existence of Shilnikov chaos in complex Ginzburg-Landau equation subject to a large third-order dispersion ...
Turaev, D, Ovsyannikov, II, Zelik, S
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A hybrid analytical-machine learning framework for data-driven modeling of soliton solutions in the complex Ginzburg-Landau equation. [PDF]

Sci Prog
Muhammad J, Tedjani AH, Yao F, Younas U.
europepmc   +1 more source

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]

MethodsX
Adem AR, Arnous AH, Triki H, González-Gaxiola O, Calucag LS, Biswas A.   +5 more
europepmc   +1 more source

Optical soliton perturbation with complex ginzburg-landau equation having multiplicative white noise and nine forms of self-phase modulation structures. [PDF]

MethodsX
Zayed EME, Saad BMM, Arnous AH, Yildirim Y, Chaloob IZ, Mahmood AS, Moraru L, Isakhanli H, Biswas A.   +8 more
europepmc   +1 more source

Spiral solutions of the two-dimensional complex Ginzburg-Landau equation

, 2001
The multi-order exact solutions of the two-dimensional complex Ginzburg-Landau equation are obtained by making use of the wave-packet theory. In these solutions, the zeroth-order exact solution is a plane wave, the first-order exact solutions are shock ...
Zhao, Q, Fu, ZT, Liu, SD, Liu, SK
core  

Numerical Simulations of the Superfluid 3 He Order Parameter Using dyGiLa: A Homogeneous Rapid Quench to B Phase. [PDF]

J Low Temp Phys
Lopez-Eiguren A, Hindmarsh M, Rummukainen K, Zhang K.   +3 more
europepmc   +1 more source

A Perturbation Model of Gradient Energy Anisotropy for Phase-Field Simulation of Ferroelectrics. [PDF]

Materials (Basel)
Shi X, Liu J, Xu K, Wang H, Wang Z, Wang N, Huang H, Liu Z.   +7 more
europepmc   +1 more source

Interaction of Spiral Waves in the Complex Ginzburg-Landau Equation

, 2014
Solutions of the general cubic complex Ginzburg-Landau equation comprising multiple spiral waves are considered, and laws of motion for the centers are derived.
Aguareles Carrero, Maria, Witelski, T., Chapman, Jonathan S.   +2 more
core