Structure of Wave Front and Organization Center in Excitable Media

LIU Shen-quan

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LIU Shen-quan. Structure of Wave Front and Organization Center in Excitable Media[J]. Applied Mathematics and Mechanics, 2004, 25(8): 831-836.

Citation:

LIU Shen-quan. Structure of Wave Front and Organization Center in Excitable Media[J]. Applied Mathematics and Mechanics, 2004, 25(8): 831-836.

Citation:

LIU Shen-quan. Structure of Wave Front and Organization Center in Excitable Media[J]. Applied Mathematics and Mechanics, 2004, 25(8): 831-836.

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Structure of Wave Front and Organization Center in Excitable Media

LIU Shen-quan

Department of Applied Mathematics, South China University of Technology, Guangzhou 510640, P. R. China

Received Date: 2002-09-05
Rev Recd Date: 2003-12-23
Publish Date: 2004-08-15

Abstract

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.
- excitable media,
- wave front,
- organization center

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References(13)

References

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