On accurately estimating stability thresholds for periodic spot patterns of reaction-diffusion systems in2

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Cites Work

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Logarithmic expansions and the stability of periodic patterns of localized spots for reaction-diffusion systems in \(\mathbb R^2\)
Stationary multiple spots for reaction-diffusion systems
An application of the modular function in nonlocal variational problem
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
Existence and stability of multiple-spot solutions for the Gray-Scott model in \(\mathbb{R}^2\)
A hybrid asymptotic-numerical method for calculating drag coefficients in 2-D low Reynolds number flows
Spot self-replication and dynamics for the Schnakenburg model in a two-dimensional domain
Static spike autosolitons in the Gray-Scott model
Large stable pulse solutions in reaction-diffusion equations
A stability index analysis of 1-D patterns of the Gray-Scott model
An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part I: Two-Dimensional Domains
The Stability of Localized Spot Patterns for the Brusselator on the Sphere
Asymptotic Analysis of Localized Solutions to Some Linear and Nonlinear Biharmonic Eigenvalue Problems
Lattice Sums for the Helmholtz Equation
The Stability and Dynamics of Localized Spot Patterns in the Two-Dimensional Gray–Scott Model
Summing Logarithmic Expansions for Singularly Perturbed Eigenvalue Problems
Stability of the Static Spike Autosolitons in the Gray--Scott Model
Spectral theory of two-dimensional periodic operators and its applications
Fast algorithms for Helmholtz Green's functions
Localized patterns in reaction-diffusion systems
On single interior spike solutions of the Gierer–Meinhardt system: uniqueness and spectrum estimates
A Hybrid Asymptotic-Numerical Method for Low Reynolds Number Flows Past a Cylindrical Body
Quasi-periodic Green's functions of the Helmholtz and Laplace equations
Optimizing the fundamental Neumann eigenvalue for the Laplacian in a domain with small traps
Stability of spatially periodic pulse patterns in a class of singularly perturbed reaction-diffusion equations
Floquet theory for partial differential equations
The stability of spike solutions to the one-dimensional Gierer-Meinhardt model