Predicting the emergence of localised dihedral patterns in models for dryland vegetation

Cites Work

Localised pattern formation in a model for dryland vegetation
Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
Pattern formation -- a missing link in the study of ecosystem response to environmental changes
Exponential asymptotics of localised patterns and snaking bifurcation diagrams
Vegetation patterns along a rainfall gradient
Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian-Hopf bifurcation
Rise and fall of periodic patterns for a generalized Klausmeier-Gray-Scott model
Bifurcation and pattern formation in diffusive Klausmeier-Gray-Scott model of water-plant interaction
Measures of order for nearly hexagonal lattices
Localised radial patterns on the free surface of a ferrofluid
The influence of autotoxicity on the dynamics of vegetation spots
A ring of spikes in a Schnakenberg model
Criteria for the (in)stability of planar interfaces in singularly perturbed 2-component reaction-diffusion equations
Fully localised three-dimensional gravity-capillary solitary waves on water of infinite depth
A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting
A mathematical model of plants as ecosystem engineers
Advection and autocatalysis as organizing principles for banded vegetation patterns
Spots in the Swift--Hohenberg Equation
pde2path - A Matlab Package for Continuation and Bifurcation in 2D Elliptic Systems
Oscillons in the planar Ginzburg–Landau equation with 2 : 1 forcing
Localized radial solutions of the Swift–Hohenberg equation
Localized Hexagon Patterns of the Planar Swift–Hohenberg Equation
Localized structures in dryland vegetation: Forms and functions
Radially symmetric patterns of reaction-diffusion systems
Traveling Stripes in the Klausmeier Model of Vegetation Pattern Formation
Striped pattern selection by advective reaction-diffusion systems: Resilience of banded vegetation on slopes
Hexagon Invasion Fronts Outside the Homoclinic Snaking Region in the Planar Swift--Hohenberg Equation
Snaking without subcriticality: grain boundaries as non-topological defects
Existence of localized radial patterns in a model for dryland vegetation
Invasion Fronts Outside the Homoclinic Snaking Region in the Planar Swift--Hohenberg Equation
Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems
Localized Radial Roll Patterns in Higher Space Dimensions
Spatially localized structures in the Gray–Scott model
Rigorous Computation of a Radially Symmetric Localized Solution in a Ginzburg--Landau Problem
Spatially Periodic Multipulse Patterns in a Generalized Klausmeier--Gray--Scott Model
Assessing the robustness of spatial pattern sequences in a dryland vegetation model
Approximate localised dihedral patterns near a turing instability
Bifurcation analysis of an extended Klausmeier–Gray–Scott model with infiltration delay
Large amplitude radially symmetric spots and gaps in a dryland ecosystem model
VisualPDE: rapid interactive simulations of partial differential equations
Dihedral rings of patterns emerging from a Turing bifurcation

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