Spiral wave dynamics under pulsatory modulation of excitability
Spiral wave dynamics under pulsatory modulation of excitability
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DOI：
10.1021/jp9616674
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发表时间：
1996-12-05
影响因子：
--
通讯作者：
Muller, SC
中科院分区：
文献类型：
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作者：
Grill, S;Zykov, VS;Muller, SC
研究了光敏Belousov-Zhabotinsky反应中弯曲螺旋波在单光脉冲、周期脉冲和反馈控制的光脉冲序列外强迫作用下的动力学。单个刺激对螺旋尖端轨迹的影响与施加刺激时尖端运动在轨迹上的相位有关。周期性地刺激介质会产生螺旋波卷吸和共振。显示了刺激的相位和夹带制度的稳定性之间的联系。在反馈控制系统中，每个刺激在对应于波阵面通过特定检测点的时刻施加。这种反馈的引入导致了两个新的动力学机制，即卷吸和共振吸引子。这些吸引子的大小和稳定性由反馈回路中的时延的值决定。用修正的双组分Oregonator模型进行了数值模拟，验证了实验结果。
The dynamics of meandering spiral waves in the photosensitive Belousov-Zhabotinsky reaction is investigated under external forcing by single light pulses, periodic pulses, and feedback-controlled sequences of light pulses. The effect of a single stimulus on the trajectory of the spiral tip is related to the phase of the tip motion on the trajectory at the moment when the stimulus is applied. Periodic stimulation of the medium can produce spiral wave entrainment and resonance. A connection between the phase of the stimuli and the stability of the regime of entrainment is shown. In the feedback-controlled system each stimulus is applied at a moment corresponding to the passage of a wave front through a particular detection point. The introduction of such a feedback results in two new dynamic regimes, the entrainment and resonance attractor. Size and stability of these attractors are determined by the value of a time delay in the feedback loop. The experimental results are corroborated by numerical simulations performed with a modified two-component Oregonator model.