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NONLINEAR DYNAMICS, ISSN 0924-090X, 07/2019, Volume 97, Issue 1, pp. 151 - 159
Amplitude death, which occurs in a system when one or more macroscopic wavefunctions collapse to zero, has been observed in mutually coupled solid-state... 
STABILITY | SPATIOTEMPORAL CHAOS | MODE-LOCKING | Amplitude death | ENGINEERING, MECHANICAL | FIBERS | WAVES | MECHANICS | SOLITONS | Asymmetry | BOUNDS | Cross-phase modulation | Coupled complex Ginzburg-Landau systems | EQUATION | Thermodynamics | Lasers | Numerical analysis
Journal Article
J Phys Soc Jpn, ISSN 0031-9015, 6/2011, Volume 80, Issue 6, pp. 064001 - 064001-7
The complex Ginzburg--Landau equation (CGLE) is a ubiquitous model for the evolution of slowly varying wave packets in nonlinear dissipative media. A front... 
Kinks | Complex Ginzburg-Landau equations | Bekki-Nozaki modified Hirota bilinear operator | Shocks | Fronts | SYSTEM | fronts | INSTABILITY | PHYSICS, MULTIDISCIPLINARY | CONVECTION | complex Ginzburg-Landau equations | kinks | PULSES | PATTERN-FORMATION | WAVES | BOUNDARIES | shocks | PROPAGATION | Physics - Pattern Formation and Solitons
Journal Article
Stochastics and Dynamics, ISSN 0219-4937, 02/2019, Volume 19, Issue 1
Journal Article
J Phys Soc Jpn, ISSN 0031-9015, 8/2013, Volume 82, Issue 8, pp. 084002 - 084002-12
Journal Article
Journal of the Physical Society of Japan, ISSN 0031-9015, 2009, Volume 78, Issue 8, pp. 084001 - 084001
Journal Article
J Phys Soc Jpn, ISSN 0031-9015, 12/2010, Volume 79, Issue 12, pp. 124003 - 124003-7
A system of nonlinearly coupled complex Ginzburg--Landau equations, CGLEs, serves as a simple model for the dynamics of pulse propagation in dissipative,... 
Solitary pulses | Complex Ginzburg-Landau equations | Kinks and fronts | Modified Hirota bilinear operator | kinks and fronts | PATTERN-FORMATION | INSTABILITY | PHYSICS, MULTIDISCIPLINARY | solitary pulses | complex Ginzburg-Landau equations | modified Hirota bilinear operator
Journal Article
Electronic Journal of Differential Equations, ISSN 1072-6691, 08/2017, Volume 2017, Issue 196, pp. 1 - 18
Blow-up phenomena of weakly coupled systems of several evolution equations, especially complex Ginzburg-Landau equations is shown by a straightforward ODE... 
Weakly coupled | Complex ginzburg-landau equation | Blow-up | EXISTENCE | LIFE-SPAN | MATHEMATICS, APPLIED | NONEXISTENCE | PARABOLIC EQUATIONS | CAUCHY-PROBLEM | REACTION-DIFFUSION SYSTEM | MATHEMATICS | blow-up | NONLINEAR HEAT-EQUATION | II BLOWUP | GAUGE-INVARIANCE | SEMILINEAR SCHRODINGER-EQUATION | complex Ginzburg-Landau equation
Journal Article
The European Physical Journal Special Topics, ISSN 1951-6355, 10/2014, Volume 223, Issue 12, pp. 2411 - 2421
Dynamics of the complex Ginzburg-Landau equation describing networks of diffusively coupled limit-cycle oscillators near the Hopf bifurcation is reviewed. It... 
Condensed Matter Physics | Measurement Science and Instrumentation | Materials Science, general | Atomic, Molecular, Optical and Plasma Physics | Physics, general | Physics | Classical Continuum Physics | SYNCHRONIZATION | SYSTEMS | TURBULENCE | COUPLED OSCILLATORS | PHYSICS, MULTIDISCIPLINARY | COLLECTIVE CHAOS
Journal Article
Numerical Methods for Partial Differential Equations, ISSN 0749-159X, 01/2019, Volume 35, Issue 1, pp. 394 - 421
Journal Article
Shenzhen Daxue Xuebao (Ligong Ban)/Journal of Shenzhen University Science and Engineering, ISSN 1000-2618, 05/2016, Volume 33, Issue 3, pp. 272 - 280
Journal Article
Optics Communications, ISSN 0030-4018, 2008, Volume 281, Issue 24, pp. 6112 - 6119
We study the properties of the coherent structures induced by the modulational instability (MI) of the two linearly coupled complex Ginzburg–Landau equations... 
Modulational instability | Optical solitary pulses | Numerical simulation | Linearly coupled complex Ginzburg–Landau equations | Optical gain | Linearly coupled complex Ginzburg-Landau equations | WAVES | SOLITONS | FIELD | DYNAMICS | 2-COMPONENT ACTIVE SYSTEMS | OPTICS
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 2007, Volume 232, Issue 1, pp. 62 - 85
The Ginzburg–Landau (GL) equation is essential for understanding the dynamics of patterns in a wide variety of physical contexts. It governs the evolutions of... 
Coupled Ginzburg–Landau equation | Homoclinic orbit | Pulse solution | Coupled Ginzburg-Landau equation | homoclinic orbit | PATTERN-FORMATION | MATHEMATICS, APPLIED | WAVES | SINGULAR PERTURBATION-THEORY | PHYSICS, MULTIDISCIPLINARY | coupled Ginzburg-Landau equation | MODE | DYNAMICS | PHYSICS, MATHEMATICAL | pulse solution | EQUATION
Journal Article
Journal of Infrared, Millimeter, and Terahertz Waves, ISSN 1866-6892, 7/2009, Volume 30, Issue 7, pp. 679 - 699
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 2003, Volume 174, Issue 1, pp. 114 - 133
Journal Article
SIAM Journal on Applied Dynamical Systems, ISSN 1536-0040, 2017, Volume 17, Issue 2, pp. 1478 - 1502
Journal Article
Physical Review Letters, ISSN 0031-9007, 04/2014, Volume 112, Issue 14, p. 144101
Chimera states, representing a spontaneous breakup of a population of identical oscillators that are identically coupled, into subpopulations displaying... 
GLOBALLY COUPLED OSCILLATORS | PHYSICS, MULTIDISCIPLINARY | MEAN-FIELD THEORY | BEHAVIOR | GINZBURG-LANDAU EQUATION | COLLECTIVE CHAOS | NETWORKS | NOISE | Physics - Chaotic Dynamics
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 04/2002, Volume 65, Issue 4, p. 046206/5
The effect of colored noises, which are correlated both in space and time, on spatiotemporal chaos in the complex Ginzburg-Landau equation has been studied... 
EXCITABLE MEDIA | WAVES | NONEQUILIBRIUM PHASE-TRANSITION | PHYSICS, FLUIDS & PLASMAS | FLUCTUATIONS | COUPLED OSCILLATOR-SYSTEMS | SPATIALLY EXTENDED SYSTEMS | DRIVEN | PHYSICS, MATHEMATICAL | STOCHASTIC RESONANCE | PROPAGATION
Journal Article
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