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Noise-sustained structure, intermittency, and the Ginzburg-Landau equation

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Dynamics of Perturbed Wavetrain Solutions to the Ginzburg‐Landau Equation
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Strange attractors and chaotic motions of dynamical systems
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Advanced mathematical methods for scientists and engineers
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Boundary-Layer Theory
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Studies in Non-Linear Stability Theory
inferredcites →https://doi.org/10.1016/0022-2860(76)80196-2openalex-snapshot
Quantum theory of the chemical bond
inferredcites →https://doi.org/10.1016/0141-1195(83)90087-6openalex-snapshot
Numerical solution of partial differential equations in science and engineering
inferredcites →https://doi.org/10.1016/0375-9601(82)90725-3openalex-snapshot
Anomalous period-doubling bifurcations leading to chemical turbulence
inferredcites →https://doi.org/10.1016/0375-9601(84)90823-5openalex-snapshot
One-dimensional strings, random fluctuations, and complex chaotic structures
inferredcites →https://doi.org/10.1017/s0022112062001172openalex-snapshot
On spatially-growing finite disturbances in plane Poiseuille flow
inferredcites →https://doi.org/10.1017/s002211206700045xopenalex-snapshot
The disintegration of wave trains on deep water Part 1. Theory
inferredcites →https://doi.org/10.1017/s0022112069000176openalex-snapshot
Finite bandwidth, finite amplitude convection
inferredcites →https://doi.org/10.1017/s0022112071001733openalex-snapshot
A non-linear instability theory for a wave system in plane Poiseuille flow
inferredcites →https://doi.org/10.1017/s0022112085003147openalex-snapshot
Absolute and convective instabilities in free shear layers
inferredcites →https://doi.org/10.1063/1.1692775openalex-snapshot
Stability of Spatially Periodic Supercritical Flows in Hydrodynamics
inferredcites →https://doi.org/10.1063/1.3023265openalex-snapshot
Quantum Theory of the Chemical Bond
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The Eckhaus and Benjamin-Feir resonance mechanisms
inferredcites →https://doi.org/10.1103/physrev.112.1488openalex-snapshot
Kinematics of Growing Waves
inferredcites →https://doi.org/10.1103/physrevlett.49.458openalex-snapshot
Three-Frequency Motion and Chaos in the Ginzburg-Landau Equation
inferredcites →https://doi.org/10.1103/physrevlett.50.383openalex-snapshot
Propagating Pattern Selection
inferredcites →https://doi.org/10.1103/physrevlett.51.1442openalex-snapshot
Low-Dimensional Chaos in a Hydrodynamic System
inferredcites →https://doi.org/10.1103/physrevlett.51.2171openalex-snapshot
Pattern Selection and Spatiotemporal Transition to Chaos in the Ginzburg-Landau Equation
inferredcites →https://doi.org/10.1103/physrevlett.51.935openalex-snapshot
Cluster Analysis of the Nonlinear Evolution of Large-Scale Structure in an Axion/Gravitino/Photino-Dominated Universe
inferredcites →https://doi.org/10.1103/revmodphys.53.655openalex-snapshot
Strange attractors and chaotic motions of dynamical systems
inferredcites →https://doi.org/10.1103/revmodphys.56.223openalex-snapshot
Turbulent solutions of the equations of fluid motion
inferredcites →https://doi.org/10.1119/1.1971408openalex-snapshot
Mathematical Methods of Physics
inferredcites →https://doi.org/10.1143/jpsj.27.1341openalex-snapshot
A Nonlinear Theory of Two-Stream Instability
inferredcites →https://doi.org/10.1143/ptp.56.679openalex-snapshot
Turbulent State in Chemical Reactions
inferredcites →https://doi.org/10.1515/9781400879410openalex-snapshot
Turbulent Flows and Heat Transfer
inferredcites →https://doi.org/10.1515/zna-1981-0115openalex-snapshot
Strange Attractors, Chaotic Behavior, and Information Flow
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Numerical Solution of Partial Differential Equations in Science and Engineering.
inferredcites →https://doi.org/10.7551/mitpress/2675.001.0001openalex-snapshot
Electron-Stream Interaction with Plasmas

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Spatial Patterns and Spatiotemporal Dynamics in Chemical Systems
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Solutions of the Ginzburg‐Landau Equation of Interest in Shear Flow Transition
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Towards a Theory of Interfacial Pattern Formation
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Chaotic dynamics in open flow: The excited jet
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Elimination of hysteresis in a system of coupled Ginzburg-Landau equations
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Steady-state ensemble for the complex Ginzburg-Landau equation with weak noise
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Simple model for the Bénard instability with horizontal flow near threshold
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Evolution of two-dimensional waves in externally perturbed flow on a vertical cylinder
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Convective and absolute PT -symmetry breaking in tight-binding lattices
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Quantum decay and amplification in a non-Hermitian unstable continuum
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Fluctuations in domain growth: Ginzburg-Landau equations with multiplicative noise
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Rayleigh-Bénard problem with imposed weak through-flow: Two coupled Ginzburg-Landau equations
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Measurement of reflection of traveling waves near the onset of binary-fluid convection
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Absolute and convective instabilities and noise-sustained structures in the Couette-Taylor system with an axial flow
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Thermally sustained structure in convectively unstable systems
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Pattern selection at the onset of Rayleigh-Bénard convection in a horizontal shear flow
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Noise amplification in open Taylor-Couette flow
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Stabilized spatiotemporal waves in a convectively unstable open flow system: coupled diode resonators
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Transition to weak turbulence via spatiotemporal intermittency in the Taylor-Dean system
inferred← citeshttps://doi.org/10.1103/physreve.53.4764openalex-snapshot
Pattern selection in the absolutely unstable regime as a nonlinear eigenvalue problem: Taylor vortices in axial flow
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Influence of through-flow on linear pattern formation properties in binary mixture convection
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Unidirectionally coupled map lattice as a model for open flow systems
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Noise-sustained structures in coupled complex Ginzburg-Landau equations for a convectively unstable system
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Noise sustained pattern growth: Bulk versus boundary effects
inferred← citeshttps://doi.org/10.1103/physreve.55.6887openalex-snapshot
Pattern selection and the effect of group velocity on interacting oscillatory and stationary instabilities
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Target patterns arising from the short-wave instability in near-critical regimes of reaction-diffusion systems
inferred← citeshttps://doi.org/10.1103/physreve.56.6170openalex-snapshot
Spatial complex behavior in nonchaotic flow systems
inferred← citeshttps://doi.org/10.1103/physreve.57.3246openalex-snapshot
Interaction between Hopf and convective instabilities in a flow reactor with cubic autocatalator kinetics
inferred← citeshttps://doi.org/10.1103/physreve.58.3843openalex-snapshot
Two-dimensional noise-sustained structures in optical parametric oscillators
inferred← citeshttps://doi.org/10.1103/physreve.60.297openalex-snapshot
Stationary space-periodic structures with equal diffusion coefficients
inferred← citeshttps://doi.org/10.1103/physreve.61.2436openalex-snapshot
Nonlinear analysis of stationary patterns in convection-reaction-diffusion systems
inferred← citeshttps://doi.org/10.1103/physreve.62.477openalex-snapshot
Local Marangoni number at the onset of hydrothermal waves
inferred← citeshttps://doi.org/10.1103/physreve.63.016307openalex-snapshot
Localized perturbations in binary fluid convection with and without throughflow
inferred← citeshttps://doi.org/10.1103/physreve.63.036218openalex-snapshot
Sensitive boundary condition dependence of noise-sustained structure
inferred← citeshttps://doi.org/10.1103/physreve.63.056301openalex-snapshot
Influence of inlet and bulk noise on Rayleigh-Bénard convection with lateral flow
inferred← citeshttps://doi.org/10.1103/physreve.65.046202openalex-snapshot
Stabilization of stationary excitation pulses in an open flow without long-range inhibition
inferred← citeshttps://doi.org/10.1103/physreve.65.056309openalex-snapshot
Rayleigh-Bénard convection with rotation at small Prandtl numbers
inferred← citeshttps://doi.org/10.1103/physreve.67.026318openalex-snapshot
Spiral and Taylor vortex fronts and pulses in axial through flow
inferred← citeshttps://doi.org/10.1103/physreve.67.036209openalex-snapshot
Critical exponents of directed percolation measured in spatiotemporal intermittency
inferred← citeshttps://doi.org/10.1103/physreve.67.046301openalex-snapshot
Noise sensitivity of sub- and supercritically bifurcating patterns with group velocities close to the convective-absolute instability
inferred← citeshttps://doi.org/10.1103/physreve.67.056207openalex-snapshot
Noise-sustained structures in differential-flow reactors with autocatalytic kinetics
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Asymptotic solutions of stationary patterns in convection-reaction-diffusion systems
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General theory of nonlinear flow-distributed oscillations
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Stability of flow- and diffusion-distributed structures to inlet noise effects
inferred← citeshttps://doi.org/10.1103/physreve.72.026210openalex-snapshot
Pattern formation by boundary forcing in convectively unstable, oscillatory media with and without differential transport
inferred← citeshttps://doi.org/10.1103/physreve.73.016611openalex-snapshot
Convective instability induced by two-points nonlocality
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Selection of flow-distributed oscillation and Turing patterns by boundary forcing in a linearly growing, oscillating medium
inferred← citeshttps://doi.org/10.1103/physreve.80.026209openalex-snapshot
Harmonic resonant excitation of flow-distributed oscillation waves and Turing patterns driven at a growing boundary
inferred← citeshttps://doi.org/10.1103/physreve.86.026208openalex-snapshot
Blocking and transmission of traveling flow-distributed-oscillation waves in an absolutely unstable flowing medium
inferred← citeshttps://doi.org/10.1103/physreve.88.062909openalex-snapshot
Synchronization of chemical noise-sustained structures in asymmetrically coupled differential-flow reactors
inferred← citeshttps://doi.org/10.1103/physreve.92.050902openalex-snapshot
Recurrent noise-induced phase singularities in drifting patterns
inferred← citeshttps://doi.org/10.1103/physrevfluids.3.053901openalex-snapshot
Absolute/convective secondary instabilities and the role of confinement in free shear layers
inferred← citeshttps://doi.org/10.1103/physrevlett.109.134301openalex-snapshot
Slack Dynamics on an Unfurling String
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Nonlinear Symmetry Breaking Induced by Third-Order Dispersion in Optical Fiber Cavities
inferred← citeshttps://doi.org/10.1103/physrevlett.57.3069openalex-snapshot
Stability of Dendritic Crystals
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Bifurcations to Local and Global Modes in Spatially Developing Flows
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Hopf bifurcation in a broken-parity pattern
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Noise-sustained structure in Taylor-Couette flow with through flow
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Secondary instability in plane channel flow with spatially periodic perturbations
inferred← citeshttps://doi.org/10.1103/physrevlett.72.1184openalex-snapshot
Controlling extended systems of chaotic elements
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Direct Measurement of Hydrodynamic Fluctuations in a Binary Mixture
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Noise-Sustained Convective Structures in Nonlinear Optics
inferred← citeshttps://doi.org/10.1103/physrevlett.82.1160openalex-snapshot
Alternative Scenarios of Spiral Breakup in a Reaction-Diffusion Model with Excitable and Oscillatory Dynamics
inferred← citeshttps://doi.org/10.1103/physrevlett.82.1442openalex-snapshot
Experimental Evidence of a Nonlinear Transition from Convective to Absolute Instability
inferred← citeshttps://doi.org/10.1103/physrevlett.86.75openalex-snapshot
Nonlinear Transition to a Global Mode for Traveling-Wave Instability in a Finite box
inferred← citeshttps://doi.org/10.1103/physrevlett.94.243903openalex-snapshot
Convective Instability Induced by Nonlocality in Nonlinear Diffusive Systems
inferred← citeshttps://doi.org/10.1103/physrevresearch.1.033148openalex-snapshot
Theory of chiral edge state lasing in a two-dimensional topological system
inferred← citeshttps://doi.org/10.1103/revmodphys.65.851openalex-snapshot
Pattern formation outside of equilibrium
inferred← citeshttps://doi.org/10.1126/science.243.4895.1150openalex-snapshot
Dendrites, Viscous Fingers, and the Theory of Pattern Formation
inferred← citeshttps://doi.org/10.1140/epjst/e2007-00081-3openalex-snapshot
Complete synchronization of convective patterns between Gray–Scott systems
inferred← citeshttps://doi.org/10.1143/jpsj.80.124001openalex-snapshot
Pattern Formation in a Simple Model of Photochemical Reaction
inferred← citeshttps://doi.org/10.1146/annurev.fl.22.010190.002353openalex-snapshot
Local And Global Instabilities In Spatially Developing Flows
inferred← citeshttps://doi.org/10.1209/0295-5075/17/4/007openalex-snapshot
Amplification of Thermal Noise via Convective Instability in Binary-Fluid Mixtures
inferred← citeshttps://doi.org/10.1209/0295-5075/4/2/014openalex-snapshot
Determining the Wavelength of Dendritic Sidebranches
inferred← citeshttps://doi.org/10.1364/bgpp.2014.jtu3a.38openalex-snapshot
Noise-induced traveling Nozaki-Bekki holes and vortices in experimental drifting patterns
inferred← citeshttps://doi.org/10.1364/josab.16.001592openalex-snapshot
Pattern formation in the presence of walk-off for a type II optical parametric oscillator
inferred← citeshttps://doi.org/10.1364/oe.27.016395openalex-snapshot
Convective Nozaki-Bekki holes in a long cavity OCT laser
inferred← citeshttps://doi.org/10.1364/oe.3.000063openalex-snapshot
Growth dynamics of noise-sustained structures in nonlinear optical resonators
inferred← citeshttps://doi.org/10.70675/2e0df704zd873z4b59z8520zda9bbacc989dopenalex-snapshot
Spatio-temporal dynamics of relativistic electron bunches during the microbunching instability : study of the Synchrotron SOLEIL and UVSOR storage rings
inferred← citeshttps://doi.org/10.70675/9fdcffc9z5796z4911zbcabz0c39ef07d42dopenalex-snapshot
High-performance computing and laboratory experiments on strato-rotational instabilities
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