Efficient control of spiral wave location in an excitable medium with localized heterogeneities
Efficient control of spiral wave location in an excitable medium with localized heterogeneities
复制标题
具有局域异质性的可激发介质中螺旋波位置的有效控制
DOI：
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发表时间：
2008
期刊：
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通讯作者：
Harald Engel
中科院分区：
文献类型：
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作者：
J. Schlesner;V. Zykov;H. Brandtstädter;I. Gerdes;Harald Engel
我们证明，螺旋波芯可以通过反馈控制沿着给定形状的虚拟一维探测器通过二维（2D）介质进行引导。为此，每次螺旋波前与检测器相切或接触其开放端时，都会对介质全局施加短暂的兴奋性扰动。这种相对简单且鲁棒的反馈算法是在光敏 Belousov-Zhabotinsky (BZ) 介质的实验和底层俄勒冈州模型的数值模拟中实现的。发展了一种理论，将螺旋波漂移的描述简化为迭代图，从中可以获得螺旋核运动的漂移速度场。该漂移速度场预测了漂移螺旋波的瞬态和静止轨迹，与实验和数值数据非常一致。结果表明，漂移速度受到高扰动强度或大延迟时间下出现的不稳定性的限制。我们提出了一种抑制观察到的不稳定性的方法，以提高反馈介导的共振漂移的速度。我们的结果可能有助于控制各种可激发介质中的螺旋波位置。
We show that a spiral wave core can be guided by feedback control through a two-dimensional (2D) medium along a virtual 1D detector of given shape. To this aim, short perturbations of excitability are applied globally to the medium each time the spiral wave front is tangent to the detector, or touches its open ends. This relatively simple and robust feedback algorithm is realized in experiments with the light-sensitive Belousov–Zhabotinsky (BZ) medium and in numerical simulations of the underlying Oregonator model. A theory is developed that reduces the description of the spiral wave drift to an iterated map from which the drift velocity field for the motion of the spiral core can be obtained. This drift velocity field predicts both the transient as well as the stationary trajectories of the drifting spiral waves in good agreement with experimental and numerical data. It is shown that the drift velocity is limited by instabilities which arise under high perturbation strength or large delay time. We propose a method to suppress the observed instabilities in order to increase the velocity of feedback mediated resonant drift. Our results might be useful for the control of spiral wave location in a wide variety of excitable media.