Stability of asymmetric spike solutions to the Gierer-Meinhardt system

DOI10.1063/1.2751391zbMath1163.37337OpenAlexW2054355678WikidataQ46976362 ScholiaQ46976362MaRDI QIDQ3636621

John Rumsey, David Iron

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://semanticscholar.org/paper/8670d1e447058ad9e6192a7ae6534732a35702a6

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (3)

The Gierer-Meinhardt system on a compact two-dimensional Riemannian manifold: Interaction of Gaussian curvature and Green's function ⋮ Stable spike clusters on a compact two-dimensional Riemannian manifold ⋮ Introduction: Dissipative localized structures in extended systems

Uses Software

• Maple

Cites Work

• Spatially periodic and aperiodic multi-pulse patterns in the one-dimensional Gierer-Meinhardt equation
• Multi-peak solutions for a semilinear Neumann problem involving the critical Sobolev exponent
• Spikes for the Gierer-Meinhardt system in two dimensions: the strong coupling case
• Multiple interior peak solutions for some singularly perturbed Neumann problems.
• Point condensation generated by a reaction-diffusion system in axially symmetric domains
• On Multiple Mixed Interior and Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems
• The chemical basis of morphogenesis
• 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
• Stability of spatially periodic pulse patterns in a class of singularly perturbed reaction-diffusion equations
• The stability of spike solutions to the one-dimensional Gierer-Meinhardt model

This page was built for publication: Stability of asymmetric spike solutions to the Gierer-Meinhardt system