Stability of spikes in the shadow Gierer-Meinhardt system with Robin boundary conditions
From MaRDI portal
Publication:3636622
DOI10.1063/1.2768156zbMath1163.37348OpenAlexW2023319484WikidataQ51905018 ScholiaQ51905018MaRDI QIDQ3636622
Wei, Juncheng, Matthias Winter, Philip K. Maini
Publication date: 1 July 2009
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://ora.ox.ac.uk/objects/uuid:fe9f9657-3dbe-4d46-a935-c954102b2ead
Related Items (8)
The stability and slow dynamics of spot patterns in the 2D Brusselator model: the effect of open systems and heterogeneities ⋮ Stability of cluster solutions in a cooperative consumer chain model ⋮ Multi-spike patterns in the Gierer-Meinhardt system with a nonzero activator boundary flux ⋮ Global existence for a singular Gierer-Meinhardt system ⋮ Introduction: Dissipative localized structures in extended systems ⋮ Boundary layer solutions in the Gierer-Meinhardt system with inhomogeneous boundary conditions ⋮ Blow-up of positive solutions to a singular Gierer-Meinhardt system ⋮ GLOBAL ANALYSIS OF THE SHADOW GIERER-MEINHARDT SYSTEM WITH GENERAL LINEAR BOUNDARY CONDITIONS IN A RANDOM ENVIRONMENT
Cites Work
- Spatially periodic and aperiodic multi-pulse patterns in the one-dimensional Gierer-Meinhardt equation
- On the interior spike layer solutions to a singularly perturbed Neumann problem
- Locating the peaks of least-energy solutions to a semilinear Neumann problem
- Pattern formation in generalized Turing systems. I: Steady-state patterns in systems with mixed boundary conditions
- Superoptimal analytic approximations of matrix functions
- Hopf bifurcations and oscillatory instabilities of spike solutions for the one-dimensional Gierer-Meinhardt model
- Spikes for the two-dimensional Gierer-Meinhardt system: the weak coupling case
- Spikes for the Gierer-Meinhardt system in two dimensions: the strong coupling case
- Stability analysis of singular patterns in the 1D Gray-Scott model: a matched asymptotics approach
- On stability and Hopf bifurcations for chemotaxis systems
- Large stable pulse solutions in reaction-diffusion equations
- Uniqueness and critical spectrum of boundary spike solutions
- Pattern formation in the one-dimensional Gray - Scott model
- On the shape of least‐energy solutions to a semilinear Neumann problem
- On the interior spike solutions for some singular perturbation problems
- The chemical basis of morphogenesis
- A Nonlocal Eigenvalue Problem and the Stability of Spikes for Reaction–Diffusion Systems with Fractional Reaction Rates
- On the Two-Dimensional Gierer--Meinhardt System with Strong Coupling
- On single interior spike solutions of the Gierer–Meinhardt system: uniqueness and spectrum estimates
- Asymmetric spike patterns for the one-dimensional Gierer–Meinhardt model: equilibria and stability
- Hopf bifurcation of spike solutions for the shadow GiererMeinhardt model
- On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems
- ON A NONLOCAL EIGENVALUE PROBLEM AND ITS APPLICATIONS TO POINT-CONDENSATIONS IN REACTION–DIFFUSION SYSTEMS
- The stability of spike solutions to the one-dimensional Gierer-Meinhardt model
This page was built for publication: Stability of spikes in the shadow Gierer-Meinhardt system with Robin boundary conditions
