Stable spike clusters for the one-dimensional Gierer–Meinhardt system (Q4594651)

scientific article; zbMATH DE number 6812605

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English	Stable spike clusters for the one-dimensional Gierer–Meinhardt system	scientific article; zbMATH DE number 6812605

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instance of

scholarly article

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title

Stable spike clusters for the one-dimensional Gierer–Meinhardt system (English)

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European Journal of Applied Mathematics

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publication date

24 November 2017

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MaRDI profile type

MaRDI publication profile

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cites work

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Spatially periodic and aperiodic multi-pulse patterns in the one-dimensional Gierer-Meinhardt equation

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Multiple interior peak solutions for some singularly perturbed Neumann problems.

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Bifurcation analysis of nonlinear reaction-diffusion equations. II: Steady state solutions and comparison with numerical simulations

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The stability of spike solutions to the one-dimensional Gierer-Meinhardt model

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Locating the peaks of least-energy solutions to a semilinear Neumann problem

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Dynamics of traveling pulses in heterogeneous media

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Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)<sub>a</sub>

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On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential

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Pattern formation in spatially heterogeneous Turing reaction-diffusion models

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Complex pattern formation in reaction-diffusion systems with spatially varying parameters

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Stability of multiple-pulse solutions

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Point-condensation for a reaction-diffusion system

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The chemical basis of morphogenesis

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The Dynamics and Pinning of a Spike for a Reaction-Diffusion System

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Asymmetric spike patterns for the one-dimensional Gierer–Meinhardt model: equilibria and stability

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Hopf bifurcation of spike solutions for the shadow GiererMeinhardt model

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Hopf bifurcations and oscillatory instabilities of spike solutions for the one-dimensional Gierer-Meinhardt model

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On single interior spike solutions of the Gierer–Meinhardt system: uniqueness and spectrum estimates

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Stationary solutions for the Cahn-Hilliard equation

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On the Two-Dimensional Gierer--Meinhardt System with Strong Coupling

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Spikes for the Gierer-Meinhardt system in two dimensions: the strong coupling case

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Spikes for the two-dimensional Gierer-Meinhardt system: the weak coupling case

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Existence and stability analysis of asymmetric patterns for the Gierer--Meinhardt system

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Symmetric and asymmetric multiple clusters in a reaction-diffusion system

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Existence, classification and stability analysis of multiple-peaked solutions for the Gierer-Meinhardt system in \(\mathbb R^1\)

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Spikes for the Gierer-Meinhardt system with discontinuous diffusion coefficients

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On the Gierer-Meinhardt system with precursors

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Stability of cluster solutions in a cooperative consumer chain model

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Mathematical aspects of pattern formation in biological systems

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Structure of stable solutions of a one-dimensional variational problem

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Identifiers

zbMATH Open document ID

1386.35165

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DOI

10.1017/S0956792516000450

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4594651