Stripe to Spot Transition in a Plant Root Hair Initiation Model
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Publication:5254929
DOI10.1137/140964527OpenAlexW1732254256MaRDI QIDQ5254929
Michael J. Ward, Víctor F. Breña-Medina, Daniele Avitabile, Alan R. Champneys
Publication date: 11 June 2015
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.5318
reaction-diffusion systemslocalized solutionsbifurcation analysisnonlocal eigenvalue problemsnonhomogeneous systemsplant root hair initiation modeling
Related Items (9)
Oscillatory translational instabilities of spot patterns in the Schnakenberg system on general 2D domains ⋮ A Model for Cell Polarization Without Mass Conservation ⋮ Spot Dynamics in a Reaction-Diffusion Model of Plant Root Hair Initiation ⋮ Wave-Pinned Patterns for Cell Polarity—A Catastrophe Theory Explanation ⋮ Existence, Stability, and Dynamics of Ring and Near-Ring Solutions to the Saturated Gierer--Meinhardt Model in the Semistrong Regime ⋮ Local Theory for Spatio-Temporal Canards and Delayed Bifurcations ⋮ Explicitly Solvable Nonlocal Eigenvalue Problems and the Stability of Localized Stripes in Reaction-Diffusion Systems ⋮ Pulse Solutions for an Extended Klausmeier Model with Spatially Varying Coefficients ⋮ Bistability, wave pinning and localisation in natural reaction-diffusion systems
Cites Work
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- Stationary multiple spots for reaction-diffusion systems
- Snakes and ladders: localized states in the Swift-Hohenberg equation
- Singularities and groups in bifurcation theory. Volume I
- Large amplitude stationary solutions to a chemotaxis system
- Hopf bifurcations and oscillatory instabilities of spike solutions for the one-dimensional Gierer-Meinhardt model
- The effect of growth and curvature on pattern formation
- Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian-Hopf bifurcation
- A skeleton structure of self-replicating dynamics
- Axisymmetric ring solutions of the 2D Gray-Scott model and their destabilization into spots
- Spot self-replication and dynamics for the Schnakenburg model in a two-dimensional domain
- Mathematical Modeling of Plant Root Hair Initiation: Dynamics of Localized Patches
- The Stability of Localized Spot Patterns for the Brusselator on the Sphere
- Zigzag and Breakup Instabilities of Stripes and Rings in the Two‐Dimensional Gray–Scott Model
- To Snake or Not to Snake in the Planar Swift–Hohenberg Equation
- Localized Pattern Formation with a Large-Scale Mode: Slanted Snaking
- On single interior spike solutions of the Gierer–Meinhardt system: uniqueness and spectrum estimates
- Homoclinic Stripe Patterns
- Reduced wave Green's functions and their effect on the dynamics of a spike for the Gierer–Meinhardt model
- The Stability of a Stripe for the Gierer--Meinhardt Model and the Effect of Saturation
- Continuation of Localized Coherent Structures in Nonlocal Neural Field Equations
- Spatio-temporal chaos for the Gray-Scott model
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