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Localized States in a Model of Pattern Formation in a Vertically Vibrated Layer
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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.1993.1022openalex-snapshot
Perturbed Homoclinic Solutions in Reversible 1:1 Resonance Vector Fields
inferredcites →https://doi.org/10.1007/3-540-30431-2openalex-snapshot
Patterns and Interfaces in Dissipative Dynamics
inferredcites →https://doi.org/10.1007/bf03167476openalex-snapshot
Rigorous numerics for localized patterns to the quintic Swift-Hohenberg equation
inferredcites →https://doi.org/10.1016/0167-2789(86)90104-1openalex-snapshot
Front motion, metastability and subcritical bifurcations in hydrodynamics
inferredcites →https://doi.org/10.1016/0167-2789(96)00077-2openalex-snapshot
Stable localized solutions of arbitrary length for the quintic Swift-Hohenberg equation
inferredcites →https://doi.org/10.1016/j.physd.2008.10.005openalex-snapshot
Exponential asymptotics of localised patterns and snaking bifurcation diagrams
inferredcites →https://doi.org/10.1016/j.physleta.2006.08.072openalex-snapshot
Snakes and ladders: Localized states in the Swift–Hohenberg equation
inferredcites →https://doi.org/10.1016/s0167-2789(98)00280-2openalex-snapshot
Oscillon-type structures and their interaction in a Swift–Hohenberg model
inferredcites →https://doi.org/10.1016/s0167-2789(98)00309-1openalex-snapshot
Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian–Hopf bifurcation
inferredcites →https://doi.org/10.1017/s0022112006002795openalex-snapshot
Localized convection cells in the presence of a vertical magnetic field
inferredcites →https://doi.org/10.1038/382793a0openalex-snapshot
Localized excitations in a vertically vibrated granular layer
inferredcites →https://doi.org/10.1088/0951-7715/13/4/317openalex-snapshot
Pattern formation with a conservation law
inferredcites →https://doi.org/10.1103/physreva.38.5461openalex-snapshot
Nonadiabatic effects in convection
inferredcites →https://doi.org/10.1103/physreve.59.4476openalex-snapshot
Continuum description of vibrated sand
inferredcites →https://doi.org/10.1103/physreve.73.056211openalex-snapshot
Localized states in the generalized Swift-Hohenberg equation
inferredcites →https://doi.org/10.1103/physreve.78.046201openalex-snapshot
Eckhaus instability and homoclinic snaking
inferredcites →https://doi.org/10.1103/physrevlett.76.3959openalex-snapshot
Dissipative Solitary States in Driven Surface Waves
inferredcites →https://doi.org/10.1103/physrevlett.79.213openalex-snapshot
Localized and Cellular Patterns in a Vibrated Granular Layer
inferredcites →https://doi.org/10.1103/physrevlett.83.3190openalex-snapshot
Oscillons and Propagating Solitary Waves in a Vertically Vibrated Colloidal Suspension
inferredcites →https://doi.org/10.1103/physrevlett.84.3069openalex-snapshot
Stable Static Localized Structures in One Dimension
inferredcites →https://doi.org/10.1103/physrevlett.97.044502openalex-snapshot
Asymptotics of Large Bound States of Localized Structures
inferredcites →https://doi.org/10.1103/physrevlett.99.104503openalex-snapshot
Proposed Resolution of Theory-Experiment Discrepancy in Homoclinic Snaking
inferredcites →https://doi.org/10.1103/revmodphys.65.851openalex-snapshot
Pattern formation outside of equilibrium
inferredcites →https://doi.org/10.1103/revmodphys.78.641openalex-snapshot
Patterns and collective behavior in granular media: Theoretical concepts
inferredcites →https://doi.org/10.1137/06067540xopenalex-snapshot
Pattern Formation in a Model of a Vibrated Granular Layer
inferredcites →https://doi.org/10.1137/06067794xopenalex-snapshot
Localized Pattern Formation with a Large-Scale Mode: Slanted Snaking
inferredcites →https://doi.org/10.1137/070698191openalex-snapshot
Classification of Spatially Localized Oscillations in Periodically Forced Dissipative Systems
inferredcites →https://doi.org/10.1137/080713306openalex-snapshot
Snakes, Ladders, and Isolas of Localized Patterns
inferredcites →https://doi.org/10.1137/080724344openalex-snapshot
Modulated and Localized States in a Finite Domain
inferredcites →https://doi.org/10.5860/choice.44-3256openalex-snapshot
Pattern formation: an introduction to methods
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/s13042-014-0244-2openalex-snapshot
Neural network equations and symbolic dynamics
inferred← citeshttps://doi.org/10.1016/j.physd.2020.132501openalex-snapshot
Spatial asymmetries of resonant oscillations in periodically forced heterogeneous media
inferred← citeshttps://doi.org/10.1017/jfm.2012.585openalex-snapshot
Convectons in a rotating fluid layer
inferred← citeshttps://doi.org/10.1088/0169-5983/44/3/031411openalex-snapshot
Spatially localized magnetoconvection
inferred← citeshttps://doi.org/10.1088/0951-7715/24/12/003openalex-snapshot
Exponential asymptotics of homoclinic snaking
inferred← citeshttps://doi.org/10.1088/0951-7715/27/12/3073openalex-snapshot
Oscillons in the planar Ginzburg–Landau equation with 2 : 1 forcing
inferred← citeshttps://doi.org/10.1093/imamat/hxab026openalex-snapshot
Localized states in coupled Cahn–Hilliard equations
inferred← citeshttps://doi.org/10.1093/imamat/hxw029openalex-snapshot
Localized structures and front propagation in systems with a conservation law
inferred← citeshttps://doi.org/10.1098/rsta.2010.0057openalex-snapshot
The emergence of a coherent structure for coherent structures: localized states in nonlinear systems
inferred← citeshttps://doi.org/10.1103/physreve.87.023019openalex-snapshot
Localized oscillatory states in magnetoconvection
inferred← citeshttps://doi.org/10.1103/physreve.87.042915openalex-snapshot
Localized states in the conserved Swift-Hohenberg equation with cubic nonlinearity
inferred← citeshttps://doi.org/10.1103/physrevfluids.2.064401openalex-snapshot
Slanted snaking of localized Faraday waves
inferred← citeshttps://doi.org/10.1137/110855429openalex-snapshot
Homoclinic Snakes Bounded by a Saddle-Center Periodic Orbit
inferred← citeshttps://doi.org/10.1137/17m1162330openalex-snapshot
Localized Patterns in Periodically Forced Systems: II. Patterns with Nonzero Wavenumber
inferred← citeshttps://doi.org/10.1137/22m1510303openalex-snapshot
Toward Convectons in the Supercritical Regime: Homoclinic Snaking in Natural Doubly Diffusive Convection
inferred← citeshttps://doi.org/10.1146/annurev-conmatphys-031214-014514openalex-snapshot
Spatial Localization in Dissipative Systems
inferred← citeshttps://doi.org/10.1186/1687-2770-2013-249openalex-snapshot
Inhomogeneous lattice dynamical systems and the boundary effect
inferred← citeshttps://doi.org/10.1209/0295-5075/121/46001openalex-snapshot
Shaping liquid drops by vibration
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