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Homoclinic Snakes Bounded by a Saddle-Center Periodic Orbit

https://doi.org/10.1137/110855429
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What this work says

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

inferredcites →https://doi.org/10.1007/s10884-010-9195-9openalex-snapshot
Isolas of 2-Pulse Solutions in Homoclinic Snaking Scenarios
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/j.physd.2008.10.005openalex-snapshot
Exponential asymptotics of localised patterns and snaking bifurcation diagrams
inferredcites →https://doi.org/10.1016/j.physd.2010.06.014openalex-snapshot
Defect-mediated snaking: A new growth mechanism for localized structures
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(97)00199-1openalex-snapshot
Time-reversal symmetry in dynamical systems: A survey
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/jfm.2011.402openalex-snapshot
Magnetohydrodynamic convectons
inferredcites →https://doi.org/10.1063/1.2746816openalex-snapshot
Homoclinic snaking: Structure and stability
inferredcites →https://doi.org/10.1063/1.4731268openalex-snapshot
Depinning, front motion, and phase slips
inferredcites →https://doi.org/10.1088/0951-7715/22/2/013openalex-snapshot
Localized radial solutions of the Swift–Hohenberg equation
inferredcites →https://doi.org/10.1088/0951-7715/24/12/003openalex-snapshot
Exponential asymptotics of homoclinic snaking
inferredcites →https://doi.org/10.1088/0951-7715/9/2/015openalex-snapshot
Local bifurcations ink-symmetric dynamical systems
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.78.036214openalex-snapshot
Local theory of the slanted homoclinic snaking bifurcation diagram
inferredcites →https://doi.org/10.1103/physreve.78.046201openalex-snapshot
Eckhaus instability and homoclinic snaking
inferredcites →https://doi.org/10.1103/physreve.80.036202openalex-snapshot
Swift-Hohenberg equation with broken reflection symmetry
inferredcites →https://doi.org/10.1103/physreve.84.016204openalex-snapshot
Swift-Hohenberg equation with broken cubic-quintic nonlinearity
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/10.1137/030600192openalex-snapshot
Defects in Oscillatory Media: Toward a Classification
inferredcites →https://doi.org/10.1137/06067794xopenalex-snapshot
Localized Pattern Formation with a Large-Scale Mode: Slanted Snaking
inferredcites →https://doi.org/10.1137/070707622openalex-snapshot
Localized Hexagon Patterns of the Planar Swift–Hohenberg Equation
inferredcites →https://doi.org/10.1137/080713306openalex-snapshot
Snakes, Ladders, and Isolas of Localized Patterns
inferredcites →https://doi.org/10.1137/080734297openalex-snapshot
Discrete Snaking: Multiple Cavity Solitons in Saturable Media
inferredcites →https://doi.org/10.1137/080734923openalex-snapshot
Unfolding a Tangent Equilibrium-to-Periodic Heteroclinic Cycle
inferredcites →https://doi.org/10.1137/090759069openalex-snapshot
Nonlinear Patterns in Urban Crime: Hotspots, Bifurcations, and Suppression
inferredcites →https://doi.org/10.1137/090762865openalex-snapshot
Localized States in a Model of Pattern Formation in a Vertically Vibrated Layer
inferredcites →https://doi.org/10.1137/100782747openalex-snapshot
To Snake or Not to Snake in the Planar Swift–Hohenberg Equation
inferredcites →https://doi.org/10.3934/proc.2009.2009.109openalex-snapshot
Multipulse states in the Swift-Hohenberg equation

What points at this work

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

inferred← citeshttps://doi.org/10.1016/j.matcom.2021.10.030openalex-snapshot
Localised spatial structures in the Thomas model
inferred← citeshttps://doi.org/10.1016/j.physd.2020.132723openalex-snapshot
Patterns, localized structures and fronts in a reduced model of clonal plant growth
inferred← citeshttps://doi.org/10.1016/j.physd.2020.132735openalex-snapshot
Bistability, wave pinning and localisation in natural reaction–diffusion systems
inferred← citeshttps://doi.org/10.1016/j.physd.2021.132858openalex-snapshot
Dissecting the snake: Transition from localized patterns to spike solutions
inferred← citeshttps://doi.org/10.1038/srep27397openalex-snapshot
Pattern Formation on Networks: from Localised Activity to Turing Patterns
inferred← citeshttps://doi.org/10.1093/imamat/hxab041openalex-snapshot
Editorial to Homoclinic snaking at 21: in memory of Patrick Woods
inferred← citeshttps://doi.org/10.1103/physreva.93.063839openalex-snapshot
Dark solitons in the Lugiato-Lefever equation with normal dispersion
inferred← citeshttps://doi.org/10.1103/physreve.100.012204openalex-snapshot
Defectlike structures and localized patterns in the cubic-quintic-septic Swift-Hohenberg equation
inferred← citeshttps://doi.org/10.1103/physreve.87.022908openalex-snapshot
Homoclinic snaking near a codimension-two Turing-Hopf bifurcation point in the Brusselator model
inferred← citeshttps://doi.org/10.1103/physrevfluids.10.044401openalex-snapshot
Convectons in unbalanced natural doubly diffusive convection
inferred← citeshttps://doi.org/10.1140/epjst/e2016-60006-8openalex-snapshot
Forced snaking: Localized structures in the real Ginzburg-Landau equation with spatially periodic parametric forcing
inferred← citeshttps://doi.org/10.1146/annurev-conmatphys-031214-014514openalex-snapshot
Spatial Localization in Dissipative Systems
inferred← citeshttps://doi.org/10.48550/arxiv.1809.07847openalex-snapshot
Dissecting the snake: the transition from localized patterns to isolated spikes in pattern formation systems
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