Stable boundary spike clusters for the two-dimensional Gierer–Meinhardt system

Author:

Ao Weiwei,Wei Juncheng,Winter Matthias

Funder

NSERC

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics

Reference30 articles.

1. W. Ao, J.C. Wei, M. Winter, Stable spike clusters on a compact two-dimensional Riemannian manifold, in preparation.

2. Development of the two-part pattern during regeneration of the head in hydra;Bode;Development,1988

3. Multi-bump ground states of the Gierer–Meinhardt system in R2;del Pino;Ann. Inst. Henri Poincaré, Anal. Non Linéaire,2003

4. Large stable pulse solutions in reaction–diffusion equations;Doelman;Indiana Univ. Math. J.,2001

5. Dynamics and interactions of spikes on smoothly curved boundaries for reaction–diffusion systems in 2D;Ei;Jpn. J. Ind. Appl. Math.,2013

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1. Single peak solutions for an elliptic system of FitzHugh–Nagumo type;Journal of Fixed Point Theory and Applications;2024-03-27

2. Cluster solutions for the FitzHugh-Nagumo system with Neumann boundary conditions;Journal of Differential Equations;2023-11

3. Turing–Hopf Bifurcation in Diffusive Gierer–Meinhardt Model;International Journal of Bifurcation and Chaos;2022-03-30

4. Stable spike clusters on a compact two-dimensional Riemannian manifold;Journal of Differential Equations;2020-03

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