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Stabilization by slow diffusion in a real Ginzburg-Landau system
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Localized Structures In Pattern-Forming Systems
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Singularly Perturbed and Nonlocal Modulation Equations for Systems with Interacting Instability Mechanisms
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Geometric Theory of Semilinear Parabolic Equations
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Geometric singular perturbation theory
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Geometric singular perturbation theory for ordinary differential equations
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Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
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Solitary waves under the influence of a long-wave mode
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Breaking the hidden symmetry in the Ginzburg-Landau equation
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Stability criterion for bright solitary waves of the perturbed cubic-quintic Schrödinger equation
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On the transition from the Ginzburg-Landau equation to the extended Fisher-Kolmogorov equation
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Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations
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Asymptotic Analysis of Singular Perturbations
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Nonlinear dynamics of sand banks and sand waves
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Instability of quasiperiodic solutions of the Ginzburg–Landau equation
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Pattern formation in the one-dimensional Gray - Scott model
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Pattern formation with a conservation law
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Fronts and pulses in a class of reaction-diffusion equations: a geometric singular perturbation approach
inferredcites →https://doi.org/10.1088/0951-7715/15/6/315openalex-snapshot
Existence and stability of singular patterns in a Ginzburg Landau equation coupled with a mean field
inferredcites →https://doi.org/10.1090/memo/0737openalex-snapshot
A stability index analysis of 1-D patterns of the Gray-Scott model
inferredcites →https://doi.org/10.1090/s0002-9947-1984-0760971-6openalex-snapshot
Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
inferredcites →https://doi.org/10.1090/s0002-9947-1991-1013331-0openalex-snapshot
Stability of Travelling Wave Solutions of Diffusive Predator-Prey Systems
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Instability of the Hocking-Stewartson pulse and its implications for three-dimensional Poiseuille flow
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Propagative phase dynamics for systems with Galilean invariance
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Self-trapping of traveling-wave pulses in binary mixture convection
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Resonant Patterns through Coupling with a Zero Mode
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Localized and Cellular Patterns in a Vibrated Granular Layer
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Sustained Resonance for a Nonlinear System with Slowly Varying Coefficients
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Edge Bifurcations for Near Integrable Systems via Evans Function Techniques
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Destabilization of Fronts in a Class of Bistable Systems
inferredcites →https://doi.org/10.1512/iumj.2001.50.1873openalex-snapshot
Large stable pulse solutions in reaction-diffusion equations
inferredcites →https://doi.org/10.1515/crll.1990.410.167openalex-snapshot
A topological invariant arising in the stability analysis of travelling waves.
inferredcites →https://doi.org/10.3934/dcds.2004.10.941openalex-snapshot
Evans function and blow-up methods in critical eigenvalue problems
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Geometric singular perturbation theory in biological practice
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Bifurcations of Heteroclinic Orbits
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The spectrum and stability of travelling pulses in a coupled FitzHugh-Nagumo equation
inferred← citeshttps://doi.org/10.1007/s12346-017-0264-xopenalex-snapshot
Traveling Fronts of a Real Supercritical Ginzburg–Landau Equation Coupled by a Slow Diffusion
inferred← citeshttps://doi.org/10.1016/j.chaos.2021.111126openalex-snapshot
Simple harmonic and damped motions of dissipative solitons in two-dimensional complex Ginzburg-Landau equation supported by an external V-shaped potential
inferred← citeshttps://doi.org/10.1016/j.jde.2012.08.008openalex-snapshot
Analytic and algebraic conditions for bifurcations of homoclinic orbits I: Saddle equilibria
inferred← citeshttps://doi.org/10.1016/j.jmaa.2025.129915openalex-snapshot
Shock-fronted traveling waves in a tumor-invasion model with generalized weak Allee effect
inferred← citeshttps://doi.org/10.1016/j.physd.2007.05.009openalex-snapshot
Pulses in a complex Ginzburg–Landau system: Persistence under coupling with slow diffusion
inferred← citeshttps://doi.org/10.1017/s0956792507006894openalex-snapshot
Stability of patterns with arbitrary period for a Ginzburg-Landau equation with a mean field
inferred← citeshttps://doi.org/10.1063/1.3187781openalex-snapshot
A remark on the dimension of the attractor for the Dirichlet problem of the complex Ginzburg–Landau equation
inferred← citeshttps://doi.org/10.1142/s0218127413500818openalex-snapshot
BIFURCATION ANALYSIS OF AN AMPLITUDE EQUATION
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BIFURCATION FROM TWO EQUILIBRIA OF STEADY STATE SOLUTIONS FOR NON-REVERSIBLE AMPLITUDE EQUATIONS
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TRAVELING FRONTS OF A REAL SUPERCRITICAL QUINTIC GINZBURG-LANDAU EQUATION COUPLED BY A SLOW DIFFUSION MODE
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