标题： 通过使用时间延迟反馈控制图灵和反螺旋模式之间的转换 显示英文标题

标题： Controlling the transition between the Turing and antispiral patterns by using time-delayed-feedback

摘要： 通过在FitzHugh-Nagumo模型中使用时间延迟反馈策略，研究了图灵和反螺旋模式之间的可控转换。我们将时间延迟视为扰动，并分析了时间延迟对图灵和霍普夫不稳定性在图灵-霍普夫双临界相空间附近的影响。数值模拟显示，通过应用适当的反馈参数，图灵模式（六边形、条纹和蜂窝）、双模反螺旋和反螺旋之间发生了转换。双模反螺旋模式源于图灵和霍普夫不稳定性之间的竞争。我们的结果表明了时间延迟在控制图灵-霍普夫双临界相空间附近的模式形成方面的灵活性。 显示英文摘要

摘要： The controllable transition between the Turing and antispiral patterns is studied by using time-delayed-feedback strategy in a FitzHugh-Nagumo model. We treat the time delay as perturbation and analyze the effect of the time delay on the Turing and Hopf instabilities near the Turing-Hopf codimension-two phase space. Numerical simulations show the transition between the Turing patterns (hexagon, stripe, and honeycomb), the dual-mode antispiral, and the antispiral by applying appropriate feedback parameters. The dual-mode antispiral pattern originates from the competition between the Turing and Hopf instabilities. Our results have shown the flexibility of the time delay on controlling the pattern formations near the Turing-Hopf codimension-two phase space.