Hexagonal spike clusters for some PDE's in 2D
Hexagonal spike clusters for some PDE's in 2D
<p style='text-indent:20px;'>We study hexagonal spike cluster patterns for Gierer-Meinhardt reaction-diffusion system with a precursor on all of <inline-formula><tex-math id="M1">\begin{document}$ \mathbb R^2 $\end{document}</tex-math></inline-formula>. These clusters consist of <inline-formula><tex-math id="M2">\begin{document}$ N $\end{document}</tex-math></inline-formula> spikes which form a nearly hexagonal lattice of a finite size. The lattice density is locally nearly constant, but globally …