几何受抑图灵环中的同步模式
Synchronization Patterns in Geometrically Frustrated Turing Rings
摘要：
耦合非线性振子可以表现出各种各样的模式。我们研究了自催化反应扩散模型中的自催化反应器。在强非线性的极限下工作提供了一个清晰的时间尺度分离，这导致了在单个整流器中的鸭式爆炸。在这种高度非线性的制度，它是数值计算发现，环的耦合meselators不遵循的预测，从车削分析。我们发现，该行为可以解释使用分段线性近似。
英文摘要：
Coupled nonlinear oscillators can exhibit a wide variety of patterns. We study the Brusselator as a prototypical autocatalytic reaction diffusion model. Working in the limit of strong nonlinearity provides a clear timescale separation that leads to a canard explosion in a single Brusselator. In this highly nonlinear regime it is numerically found that rings of coupled Brusselators do not follow the predictions from Turning analysis. We find that the behavior can be explained using a piecewise linear approximation.
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