竞争诱导图灵模式的自发共振消灭
Competition Induced Spontaneous Resonant Annihilation of Turing Pattern
摘要：
在Gray-Scott反应扩散模型中引入一个额外的反应物，在图灵斑图形成过程中，不同化学物种之间的动态竞争会导致不同物种斑图之间的物种领地入侵现象.通过数值模拟，我们发现在竞争条件下，二维斑图的各自质量会发生一种特殊的振荡变化。入侵的图灵斑图可以从稳定的衰落模式转变为自发的共振振荡模式，即萤火虫发光模式，该模式在最近的相邻斑之间同步发生，直到最大的斑最终消失。这种湮灭的共振振荡行为可以继续，但以更混乱的方式，通过另一个图案的入侵，朝向图案的最终死亡。谐振频率是入侵模式的固有特性，取决于其控制参数。
英文摘要：
Including an extra reactant in the Gray-Scott reaction-diffusion model, the dynamical competition between different chemical species during the Turing pattern formation can lead to species territory invasion phenomenon among different patterns of respective species. We report a peculiar oscillatory change on respective mass of a 2D pattern under competition condition by numerical simulation. The invaded Turing spot pattern can turn from a steady fading mode into a spontaneous resonant oscillation mode, the firefly lighting mode, which occurs synchronously among nearest neighboring spots, until the largest spot is annihilated finally. Such resonant oscillation behavior for annihilation can continue but in a more chaotic way towards final dying of the pattern by invasion of another pattern. The resonant frequency is found to be intrinsic character of the invaded pattern, depending on its control parameters.
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