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Propagating fronts and the center manifold theorem

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

inferredcites →https://doi.org/10.1002/mma.1670100105openalex-snapshot
Reduction of quasilinear elliptic equations in cylindrical domains with applications
inferredcites →https://doi.org/10.1007/978-3-662-03866-6_12openalex-snapshot
Ordinary Differential Equations
inferredcites →https://doi.org/10.1007/bf01206953openalex-snapshot
The existence of dendritic fronts
inferredcites →https://doi.org/10.1007/bfb0092042openalex-snapshot
Invariant Manifolds
inferredcites →https://doi.org/10.1016/0001-8708(78)90130-5openalex-snapshot
Multidimensional nonlinear diffusion arising in population genetics
inferredcites →https://doi.org/10.1016/0022-0396(83)90077-3openalex-snapshot
The application of centre manifolds to amplitude expansions. I. Ordinary differential equations
inferredcites →https://doi.org/10.1016/0022-0396(83)90078-5openalex-snapshot
The application of centre manifolds to amplitude expansions. II. Infinite dimensional problems
inferredcites →https://doi.org/10.1016/s0065-2156(08)70288-6openalex-snapshot
Nonlinearly Resonant Surface Waves and Homoclinic Bifurcation
inferredcites →https://doi.org/10.1515/9781400861026openalex-snapshot
Instabilities and Fronts in Extended Systems
inferredcites →https://doi.org/10.2307/2324802openalex-snapshot
Ordinary Differential Equations.

What points at this work

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

inferred← citeshttps://doi.org/10.1002/(sici)1099-1476(199606)19:9<717::aid-mma792>3.0.co;2-zopenalex-snapshot
The Validity of Generalized Ginzburg-Landau Equations
inferred← citeshttps://doi.org/10.1002/1521-4001(200011)80:11/12<745::aid-zamm745>3.0.co;2-9openalex-snapshot
Nonlinear Stability of Bifurcating Front Solutions for the Taylor-Couette Problem
inferred← citeshttps://doi.org/10.1002/mana.200410490openalex-snapshot
Exponential averaging for traveling wave solutions in rapidly varying periodic media
inferred← citeshttps://doi.org/10.1007/978-1-4615-3438-9_32openalex-snapshot
A Guide to Literature Related to the Taylor-Couette Problem
inferred← citeshttps://doi.org/10.1007/978-1-4757-0172-2_6openalex-snapshot
Spatio-Temporal Chaos
inferred← citeshttps://doi.org/10.1007/bf02098298openalex-snapshot
Front solutions for the Ginzburg-Landau equation
inferred← citeshttps://doi.org/10.1007/bf02098299openalex-snapshot
A center-stable manifold theorem for differential equations in Banach spaces
inferred← citeshttps://doi.org/10.1007/bf02278004openalex-snapshot
The time dependent amplitude equation for the Swift-Hohenberg problem
inferred← citeshttps://doi.org/10.1007/pl00001491openalex-snapshot
Bifurcating fronts for the Taylor—Couette problem in infinite cylinders
inferred← citeshttps://doi.org/10.1007/s00205-024-01961-5openalex-snapshot
Front Selection in Reaction–Diffusion Systems via Diffusive Normal Forms
inferred← citeshttps://doi.org/10.1007/s00205-024-01968-yopenalex-snapshot
Invariant Manifolds for the Thin Film Equation
inferred← citeshttps://doi.org/10.1007/s002050050042openalex-snapshot
Invariant Manifolds for Parabolic Partial Differential Equations on Unbounded Domains
inferred← citeshttps://doi.org/10.1007/s002050050115openalex-snapshot
Nonlinear Stability of Taylor Vortices in Infinite Cylinders
inferred← citeshttps://doi.org/10.1007/s002200050238openalex-snapshot
Geometric Stability Analysis for Periodic Solutions of the Swift-Hohenberg Equation
inferred← citeshttps://doi.org/10.1007/s002200100423openalex-snapshot
Modulating Pulse Solutions for a Class¶of Nonlinear Wave Equations
inferred← citeshttps://doi.org/10.1007/s002200100577openalex-snapshot
Non-linear Stability of Modulated Fronts¶for the Swift-Hohenberg Equation
inferred← citeshttps://doi.org/10.1007/s00332-025-10193-0openalex-snapshot
Fast-Moving Pattern Interfaces Close to a Turing Instability in an Asymptotic Model for the Three-Dimensional Bénard–Marangoni Problem
inferred← citeshttps://doi.org/10.1007/s003320010011openalex-snapshot
Stable Modulating Multipulse Solutions for Dissipative Systems with Resonant Spatially Periodic Forcing
inferred← citeshttps://doi.org/10.1007/s003329900042openalex-snapshot
Hopf Bifurcation in Spatially Extended Reaction—Diffusion Systems
inferred← citeshttps://doi.org/10.1007/s00526-026-03366-6openalex-snapshot
Slow-moving pattern interfaces in general directions for a two-dimensional Swift–Hohenberg-type equation
inferred← citeshttps://doi.org/10.1007/s10884-009-9140-yopenalex-snapshot
A Smooth Center Manifold Theorem which Applies to Some Ill-Posed Partial Differential Equations with Unbounded Nonlinearities
inferred← citeshttps://doi.org/10.1007/s10884-014-9398-6openalex-snapshot
Existence and Homogenisation of Travelling Waves Bifurcating from Resonances of Reaction–Diffusion Equations in Periodic Media
inferred← citeshttps://doi.org/10.1007/s12346-025-01324-9openalex-snapshot
Dynamics of a Tri-Trophic Predation Model with Antipredator Behavior and Beddington-DeAngelis Functional Response
inferred← citeshttps://doi.org/10.1016/0167-2789(93)90164-vopenalex-snapshot
Measuring dynamical noise in dynamical systems
inferred← citeshttps://doi.org/10.1016/j.jde.2014.12.006openalex-snapshot
Modulated traveling fronts for a nonlocal Fisher-KPP equation: A dynamical systems approach
inferred← citeshttps://doi.org/10.1016/j.jde.2020.03.033openalex-snapshot
Modulating traveling fronts for the Swift-Hohenberg equation in the case of an additional conservation law
inferred← citeshttps://doi.org/10.1016/j.jmaa.2022.126224openalex-snapshot
Modulating traveling fronts in a dispersive Swift-Hohenberg equation coupled to an additional conservation law
inferred← citeshttps://doi.org/10.1016/j.jtbi.2025.112200openalex-snapshot
Mathematical modeling of the feather follicle morphogenetic wave in birds
inferred← citeshttps://doi.org/10.1016/j.physd.2004.08.001openalex-snapshot
Pattern forming pulled fronts: bounds and universal convergence
inferred← citeshttps://doi.org/10.1016/j.physrep.2003.08.001openalex-snapshot
Front propagation into unstable states
inferred← citeshttps://doi.org/10.1016/s0167-2789(00)00010-5openalex-snapshot
Existence and stability of modulating pulse-solutions in a phenomenological model of nonlinear optics
inferred← citeshttps://doi.org/10.1017/s0013091500006210openalex-snapshot
Fronts, domain walls and pulses in a generalized Ginzburg-Landau equation
inferred← citeshttps://doi.org/10.1017/s0334270000007384openalex-snapshot
Boundary conditions for approximate differential equations
inferred← citeshttps://doi.org/10.1017/s0334270000008717openalex-snapshot
Planform evolution in convection–an embedded centre manifold
inferred← citeshttps://doi.org/10.1017/s095679250200503xopenalex-snapshot
Propagation of hexagonal patterns near onset
inferred← citeshttps://doi.org/10.1023/a:1016680007953openalex-snapshot
Renormalization Group Method. Applications to Partial Differential Equations
inferred← citeshttps://doi.org/10.1063/1.533228openalex-snapshot
Asymptotic dynamical difference between the nonlocal and local Swift–Hohenberg models
inferred← citeshttps://doi.org/10.1088/0951-7715/5/6/004openalex-snapshot
Space-time behaviour in problems of hydrodynamic type: a case study
inferred← citeshttps://doi.org/10.1088/0951-7715/6/3/006openalex-snapshot
Travelling waves in lattice models of multi-dimensional and multi-component media. I. General hyperbolic properties
inferred← citeshttps://doi.org/10.1088/1361-6544/aa6c74openalex-snapshot
Linear spreading speeds from nonlinear resonant interaction*
inferred← citeshttps://doi.org/10.1088/1361-6544/acf265openalex-snapshot
Growing patterns
inferred← citeshttps://doi.org/10.1090/tran/7190openalex-snapshot
Center manifolds without a phase space
inferred← citeshttps://doi.org/10.1111/sapm.70140openalex-snapshot
Pattern Formation and Nonlinear Waves Close to a 1:1 Resonant Turing and Turing–Hopf Instability
inferred← citeshttps://doi.org/10.1112/jlms.12122openalex-snapshot
Pattern‐forming fronts in a Swift–Hohenberg equation with directional quenching — parallel and oblique stripes
inferred← citeshttps://doi.org/10.1134/s0081543808020144openalex-snapshot
On radial solutions of the Swift-Hohenberg equation
inferred← citeshttps://doi.org/10.1134/s0965542508040131openalex-snapshot
Fronts, traveling fronts, and their stability in the generalized Swift-Hohenberg equation
inferred← citeshttps://doi.org/10.1137/18m1225653openalex-snapshot
Invasion Fronts Outside the Homoclinic Snaking Region in the Planar Swift--Hohenberg Equation
inferred← citeshttps://doi.org/10.1137/20m1369622openalex-snapshot
Hexagon Invasion Fronts Outside the Homoclinic Snaking Region in the Planar Swift--Hohenberg Equation
inferred← citeshttps://doi.org/10.1137/21m1451038openalex-snapshot
Nonlinear Convective Stability of a Critical Pulled Front Undergoing a Turing Bifurcation at Its Back: A Case Study
inferred← citeshttps://doi.org/10.1155/2018/1423170openalex-snapshot
Existence and Approximation of Manifolds for the Swift-Hohenberg Equation with a Parameter
inferred← citeshttps://doi.org/10.1155/2020/2676919openalex-snapshot
Representation of Manifolds for the Stochastic Swift-Hohenberg Equation with Multiplicative Noise
inferred← citeshttps://doi.org/10.1186/s13660-015-0889-8openalex-snapshot
Dynamics and invariant manifolds for a nonlocal stochastic Swift-Hohenberg equation
inferred← citeshttps://doi.org/10.1186/s13660-016-1166-1openalex-snapshot
Dynamical behaviors of stochastic local Swift-Hohenberg equation on unbounded domain
inferred← citeshttps://doi.org/10.1575/1912/802openalex-snapshot
1991 Summer Study Program in Geophysical Fluid Dynamics : patterns in fluid flow
inferred← citeshttps://doi.org/10.3934/dcds.2020213openalex-snapshot
Time dependent center manifold in PDEs
inferred← citeshttps://doi.org/10.3934/dcdss.2016071openalex-snapshot
Approximation of random invariant manifolds for a stochastic Swift-Hohenberg equation
inferred← citeshttps://doi.org/10.4064/dm240812-6-5openalex-snapshot
Invariant manifolds of partially normally hyperbolic invariant manifolds in Banach spaces
inferred← citeshttps://doi.org/10.48550/arxiv.1903.08040openalex-snapshot
The exponential dichotomy and invariant manifolds for some classes of differential equations
inferred← citeshttps://doi.org/10.48550/arxiv.patt-sol/9412002openalex-snapshot
The Swift-Hohenberg Equation Requires Non-Local Modifications to Model Spatial Pattern Evolution of Physical Problems
inferred← citeshttps://doi.org/10.58997/ejde.2020.84openalex-snapshot
Spatial dynamics of a nonlocal bistable reaction diffusion equation
inferred← citeshttps://doi.org/10.58997/ejde.2021.22openalex-snapshot
Periodic traveling waves and asymptotic spreading of a monostable reaction-diffusion equations with nonlocal effects
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