Dihedral rings of patterns emerging from a Turing bifurcation
DOI10.1088/1361-6544/ad2221arXiv2210.13122MaRDI QIDQ6120884
David J. B. Lloyd, Dan J. Hill, Jason J. Bramburger
Publication date: 21 February 2024
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.13122
Reaction-diffusion equations (35K57) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Bifurcations in context of PDEs (35B32) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Pattern formations in context of PDEs (35B36)
Cites Work
- Snaking of radial solutions of the multi-dimensional Swift-Hohenberg equation: a numerical study
- Localised radial patterns on the free surface of a ferrofluid
- Spots in the Swift--Hohenberg Equation
- Existence, Stability, and Dynamics of Ring and Near-Ring Solutions to the Saturated Gierer--Meinhardt Model in the Semistrong Regime
- The Stability and Dynamics of Localized Spot Patterns in the Two-Dimensional Gray–Scott Model
- Localized radial solutions of the Swift–Hohenberg equation
- Multi-pulse evolution and space-time chaos in dissipative systems
- Localized Hexagon Patterns of the Planar Swift–Hohenberg Equation
- Convergence estimates for the numerical approximation of homoclinic solutions
- Radially symmetric patterns of reaction-diffusion systems
- Spot patterns in the 2‐D Schnakenberg model with localized heterogeneities
- Curvature effects and radial homoclinic snaking
- Three-dimensional spatially localized binary-fluid convection in a porous medium
- Refined stability thresholds for localized spot patterns for the Brusselator model in
- Existence of quasipatterns in the superposition of two hexagonal patterns
- Localized Radial Roll Patterns in Higher Space Dimensions
- Rigorous Computation of a Radially Symmetric Localized Solution in a Ginzburg--Landau Problem
- Small‐amplitude grain boundaries of arbitrary angle in the Swift‐Hohenberg equation
- Dynamics of $N$-Spot Rings with Oscillatory Tails in a Three-Component Reaction-Diffusion System
- Approximate localised dihedral patterns near a turing instability
- Large amplitude radially symmetric spots and gaps in a dryland ecosystem model
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