I show stable, localized, single and multi-spot patterns of three classes -
stationary, moving, and rotating - that exist within a limited range of
parameter values in the two-dimensional Gray-Scott reaction-diffusion model
with ${\sigma} = D_u/D_v = 2$. These patterns exist in domains of any size, and
appear to derive their stability from a constructive reinforcement effect of
the standing waves that surround any feature. There are several common elements
- including a spot that behaves as a quasiparticle, a U-shaped stripe, and a
ring or annulus, or a portion thereof - which combine to form a great variety
of stable structures. These patterns interact with each other in a variety of
ways. There are similarities to other reaction-diffusion systems and to
physical experiments; I offer several suggestions for further research.

该研究使用二维 Gray-Scott 反应扩散模型，展示出单个和多个稳定的、本地化的、静态、移动和旋转的模式。这些模式存在于特定参数范围内，并从包围任何特征的驻波的建设性加固效应中获得稳定性。这些模式相互作用，并与其他反应扩散系统和物理实验相似，并提出了进一步研究的若干建议。