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On small stationary localized solutions for the generalized 1-D Swift–Hohenberg 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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Perturbed Homoclinic Solutions in Reversible 1:1 Resonance Vector Fields
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Geometric Theory of Semilinear Parabolic Equations
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Homoclinic orbits in Hamiltonian systems
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Stable particle-like solutions of multidimensional nonlinear fields
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On the existence of stationary multisolitons
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Analysis on Real and Complex Manifolds
inferredcites →https://doi.org/10.1017/s0956792500000735openalex-snapshot
Homoclinic orbits in the dynamic phase-space analogy of an elastic strut
inferredcites →https://doi.org/10.1051/jphys:01981004204051500openalex-snapshot
Wavelength selection in one-dimensional cellular structures
inferredcites →https://doi.org/10.1063/1.165859openalex-snapshot
Complex dynamics and bifurcations in a Hamiltonian system having a transversal homoclinic orbit to a saddle focus
inferredcites →https://doi.org/10.1103/physreva.15.319openalex-snapshot
Hydrodynamic fluctuations at the convective instability
inferredcites →https://doi.org/10.1103/physreva.48.4605openalex-snapshot
Transverse patterns in nascent optical bistability
inferredcites →https://doi.org/10.1103/physrevlett.73.640openalex-snapshot
Localized structures and localized patterns in optical bistability
inferredcites →https://doi.org/10.1112/blms/14.3.270openalex-snapshot
GEOMETRIC THEORY OF SEMILINEAR PARABOLIC EQUATIONS (Lecture Notes in Mathematics, 840)
inferredcites →https://doi.org/10.1515/9781400861026openalex-snapshot
Instabilities and Fronts in Extended Systems
inferredcites →https://doi.org/10.3367/ufnr.0062.195706a.0001openalex-snapshot
Статистическая теория множественного образования частиц
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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On Vegetation Clustering, Localized Bare Soil Spots and Fairy Circles
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Cavity Solitons in Semiconductor Devices
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Rigorous numerics for localized patterns to the quintic Swift-Hohenberg equation
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Entire solutions to the Swift–Hohenberg equation via a variational approach
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Controlling the motion of localized structures in Kerr cavities with Raman and higher-order dispersion
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Exact solutions of the Swift–Hohenberg equation with dispersion
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From localized spots to the formation of invaginated labyrinthine structures in a Swift–Hohenberg model
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Solitons and cavitons in a nonlocal Whitham equation
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Continuation and bifurcations of periodic orbits and symbolic dynamics in the Swift–Hohenberg equation
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Existence of pearled patterns in the planar functionalized Cahn–Hilliard equation
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Ergodic dynamics of the stochastic Swift–Hohenberg system
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Bifurcation analysis of a modified Swift–Hohenberg equation
inferred← citeshttps://doi.org/10.1016/j.physd.2005.06.009openalex-snapshot
Localized periodic patterns for the non-symmetric generalized Swift-Hohenberg equation
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On periodically modulated rolls in the generalized Swift–Hohenberg equation: Galerkin’ approximations
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Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian–Hopf bifurcation
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Abundance of stable stationary localized solutions to the generalized 1D Swift-Hohenberg equation
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Optical Pattern Formation
inferred← citeshttps://doi.org/10.1063/1.533228openalex-snapshot
Asymptotic dynamical difference between the nonlocal and local Swift–Hohenberg models
inferred← citeshttps://doi.org/10.1088/0951-7715/10/2/005openalex-snapshot
Instability of small stationary localized solutions to a class of reversible 1+1 PDEs
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Splitting of separatrices for the Hamiltonian-Hopf bifurcation with the Swift–Hohenberg equation as an example
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Hamiltonian Hopf bifurcations in Gaudin models
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Editorial to Homoclinic snaking at 21: in memory of Patrick Woods
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Spatially localized structures in the Gray–Scott model
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Relative stability of multipeak localized patterns of cavity solitons
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Localized vegetation patches: A self-organized response to resource scarcity
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Weakly subcritical stationary patterns: Eckhaus instability and homoclinic snaking
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Three-Dimensional Optical Crystals and Localized Structures in Cavity Second Harmonic Generation
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Stable Static Localized Structures in One Dimension
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On radial solutions of the Swift-Hohenberg equation
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Fronts, traveling fronts, and their stability in the generalized Swift-Hohenberg equation
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On stability at the Hamiltonian Hopf Bifurcation
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Breakdown of symmetry in reversible systems
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Twin Heteroclinic Connections of Reversible Systems
inferred← citeshttps://doi.org/10.1137/22m1514234openalex-snapshot
Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation
inferred← citeshttps://doi.org/10.1142/s0218127410025922openalex-snapshot
BIFURCATION ANALYSIS OF THE 1D AND 2D GENERALIZED SWIFT–HOHENBERG EQUATION
inferred← citeshttps://doi.org/10.1142/s0218127414400069openalex-snapshot
Symmetric Homoclinic Orbits at the Periodic Hamiltonian Hopf Bifurcation
inferred← citeshttps://doi.org/10.1146/annurev-conmatphys-031214-014514openalex-snapshot
Spatial Localization in Dissipative Systems
inferred← citeshttps://doi.org/10.2139/ssrn.6096183openalex-snapshot
Symmetric Frequency Combs from Quasi-Stationary Dissipative Bright and dark Solitons in Kerr Cavities with Raman and Higher-Order Dispersion
inferred← citeshttps://doi.org/10.3934/dcdsb.2007.7.441openalex-snapshot
Attractor bifurcation and final patterns of the n-dimensional and generalized Swift-Hohenberg equations
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Analytic invariants for the 1 : - 1 resonance
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