Structure of Wave Front and Organization Center in Excitable Media
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摘要: 通过建立波前曲面上的移动坐标系和边界层内的摄动分析，研究激发介质的波前曲面和组织中心的结构，得到波前曲面所满足的特征方程，组织中心所满足的一般方程．这些特征方程表明激发介质的波前曲面具有扭曲型回卷波、Mbius带型结构等变化；组织中心的轨迹具有打结、连结型的环型结构．得到的理论结果不仅解释了BZ化学反应产生的波形图案，而且给出一般激发介质波前曲面和组织中心可能出现的变化．Abstract: With help of establishing the moving coordinate on the wave front surface and the perturbation analysis in the boundary layer, the structures of wave front and organization center in excitable media were studied. The eikonal equation of wave front surface and general equation of organization center were obtained. These eikonal equations reveal the wave front surfaces have structures of twisted scroll wave and M bius band, the organization centers have structures of knotted and linked ring. These theoretical results not only explain the wave patterns of BZ chemical reaction but also give several possibility structures of wave front surface and organization center in general excitable media.
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Key words:
- excitable media /
- wave front /
- organization center
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