Ghosh Pushpita
Indian Association for the Cultivation of Science, Jadavpur, Kolkata, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jul;84(1 Pt 2):016222. doi: 10.1103/PhysRevE.84.016222. Epub 2011 Jul 25.
Application of time-delayed feedback is a practical method of controlling bifurcations in reaction-diffusion systems. It has been shown that for a suitable feedback strength, time delay beyond a threshold may induce spatiotemporal instabilities. For an appropriate parameter space with differential diffusivities of the activator-inhibitor species, delayed feedback may generate Turing instability via a Hopf-Turing transition, resulting in stationary patterns. This is explored by a theoretical scheme in a photosensitive chlorine dioxide-iodine-malonic acid reaction-diffusion system where the delayed feedback is externally tuned by photoillumination intensity. Our analytical results corroborate with direct numerical simulations.
应用延时反馈是控制反应扩散系统中分歧现象的一种实用方法。研究表明，对于合适的反馈强度，超过阈值的时间延迟可能会引发时空不稳定性。对于具有激活剂 - 抑制剂物种不同扩散率的适当参数空间，延迟反馈可能通过霍普夫 - 图灵转变产生图灵不稳定性，从而导致静态模式。这在一个光敏二氧化氯 - 碘 - 丙二酸反应扩散系统中通过理论方案进行了探索，其中延迟反馈通过光照强度进行外部调节。我们的分析结果与直接数值模拟结果相符。
