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Singularly Perturbed and Nonlocal Modulation Equations for Systems with Interacting Instability Mechanisms
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1006/jdeq.1994.1025openalex-snapshot
Tracking Invariant Manifolds with Differential Forms in Singularly Perturbed Systems
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Global Bifurcations and Chaos
inferredcites →https://doi.org/10.1007/bf00916648openalex-snapshot
The effect of nonlocal interactions on the dynamics of the Ginzburg-Landau equation
inferredcites →https://doi.org/10.1007/bf02429847openalex-snapshot
On the validity of the Ginzburg-Landau equation
inferredcites →https://doi.org/10.1007/bf02429865openalex-snapshot
Traveling waves in the complex Ginzburg-Landau equation
inferredcites →https://doi.org/10.1007/bf02429869openalex-snapshot
The Ginzburg-Landau manifold is an attractor
inferredcites →https://doi.org/10.1007/bfb0062381openalex-snapshot
Relaxation oscillations including a standard chase on French ducks
inferredcites →https://doi.org/10.1016/0022-0396(79)90152-9openalex-snapshot
Geometric singular perturbation theory for ordinary differential equations
inferredcites →https://doi.org/10.1016/0167-2789(92)90035-lopenalex-snapshot
Coupled nonlocal complex Ginzburg-Landau equations in gasless combustion
inferredcites →https://doi.org/10.1016/0167-2789(92)90175-mopenalex-snapshot
Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
inferredcites →https://doi.org/10.1016/0956-7151(90)90282-lopenalex-snapshot
Morphological instability in rapid directional solidification
inferredcites →https://doi.org/10.1017/s0022112058000276openalex-snapshot
On the non-linear mechanics of hydrodynamic stability
inferredcites →https://doi.org/10.1017/s0022112088000746openalex-snapshot
The interaction of two spatially resonant patterns in thermal convection. Part 1. Exact 1:2 resonance
inferredcites →https://doi.org/10.1017/s0022112089000467openalex-snapshot
A theoretical and experimental study of double-layer convection
inferredcites →https://doi.org/10.1017/s0022112092004300openalex-snapshot
Sand ripples under sea waves Part 3. Brick-pattern ripple formation
inferredcites →https://doi.org/10.1017/s0308210500032649openalex-snapshot
Instability of quasiperiodic solutions of the Ginzburg–Landau equation
inferredcites →https://doi.org/10.1088/0951-7715/3/4/001openalex-snapshot
Amplitude equations for travelling wave convection
inferredcites →https://doi.org/10.1088/0951-7715/8/5/007openalex-snapshot
On the validity of mean-field amplitude equations for counterpropagating wavetrains
inferredcites →https://doi.org/10.1088/0951-7715/9/3/004openalex-snapshot
Existence and stability of singular heteroclinic orbits for the Ginzburg - Landau equation
inferredcites →https://doi.org/10.1090/qam/1218368openalex-snapshot
Stability of plane wave solutions of complex Ginzburg-Landau equations
inferredcites →https://doi.org/10.1093/imamat/35.2.145openalex-snapshot
Non-linear Interaction of Morphological and Convective Instabilities During Solidification of a Dilute Binary Alloy
inferredcites →https://doi.org/10.1093/imamat/45.3.267openalex-snapshot
Long-Wave Interactions in Morphological and Convective Instabilities
inferredcites →https://doi.org/10.1098/rsta.1996.0035openalex-snapshot
Homoclinic explosions and implosions
inferredcites →https://doi.org/10.1137/0514066openalex-snapshot
Sustained Resonance for a Nonlinear System with Slowly Varying Coefficients
inferredcites →https://doi.org/10.1137/s003613999630318xopenalex-snapshot
Modulation Equations for Spatially Periodic Systems: Derivation and Solutions
inferredcites →https://doi.org/10.1137/s003614109325966xopenalex-snapshot
Tracking Invariant Manifolds up to Exponentially Small Errors
inferredcites →https://doi.org/10.1201/9780203745601-2openalex-snapshot
On the Justification of the Ginzburg-Landau approximation
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/bf02666022openalex-snapshot
Stabilization by slow diffusion in a real Ginzburg-Landau system
inferred← citeshttps://doi.org/10.1007/s00332-004-0583-3openalex-snapshot
Stabilization by Slow Diffusion in a Real Ginzburg-Landau System
inferred← citeshttps://doi.org/10.1007/s10884-017-9631-1openalex-snapshot
Chaotic Traveling Wave Solutions in Coupled Chua’s Circuits
inferred← citeshttps://doi.org/10.1007/s11784-015-0236-1openalex-snapshot
Second-order set-valued differential equations with boundary conditions
inferred← citeshttps://doi.org/10.1007/s40314-014-0196-xopenalex-snapshot
Efficient algorithms for fourth and sixth-order two-point non-linear boundary value problems using non-polynomial spline approximations on a geometric mesh
inferred← citeshttps://doi.org/10.1016/s0167-2789(98)00035-9openalex-snapshot
On the transition from the Ginzburg-Landau equation to the extended Fisher-Kolmogorov equation
inferred← citeshttps://doi.org/10.1016/s1874-575x(02)80036-4openalex-snapshot
The Ginzburg-Landau Equation in Its Role as a Modulation Equation
inferred← citeshttps://doi.org/10.1080/00207160.2014.902054openalex-snapshot
Adaptive mesh generation for singularly perturbed fourth-order ordinary differential equations
inferred← citeshttps://doi.org/10.1088/0951-7715/16/3/308openalex-snapshot
Geometric theory for multi-bump, self-similar, blowup solutions of the cubic nonlinear Schr dinger equation
inferred← citeshttps://doi.org/10.1090/s0002-9947-01-02769-6openalex-snapshot
Construction and asymptotic stability of structurally stable internal layer solutions
inferred← citeshttps://doi.org/10.1103/physreve.88.042912openalex-snapshot
Accessible solitons in complex Ginzburg-Landau media
inferred← citeshttps://doi.org/10.1137/030600552openalex-snapshot
Near-Resonant Steady Mode Interaction: Periodic, Quasi-periodic, and Localized Patterns
inferred← citeshttps://doi.org/10.1137/s0036141098342556openalex-snapshot
A Geometric Approach to Singularly Perturbed Nonlocal Reaction-Diffusion Equations
inferred← citeshttps://doi.org/10.1155/2013/614508openalex-snapshot
Geometric Mesh Three-Point Discretization for Fourth-Order Nonlinear Singular Differential Equations in Polar System
inferred← citeshttps://doi.org/10.1155/2014/527924openalex-snapshot
The Convergence of Geometric Mesh Cubic Spline Finite Difference Scheme for Nonlinear Higher Order Two-Point Boundary Value Problems
inferred← citeshttps://doi.org/10.11948/2013016openalex-snapshot
TRAVELING WAVE SOLUTIONS IN COUPLED CHUA'S CIRCUITS, PART I: PERIODIC SOLUTIONS
inferred← citeshttps://doi.org/10.4310/maa.2001.v8.n3.a2openalex-snapshot
Spatially periodic and aperiodic multi-pulse patterns in the one-dimensional Gierer–Meinhardt equation
inferred← citeshttps://doi.org/10.57262/die/1356124304openalex-snapshot
A domain-wall between single-mode and bimodal states
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