Curvature Relation of Wave Front and Wave Changing in External Field

LIU Shen-quan; SONG Le

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LIU Shen-quan, SONG Le. Curvature Relation of Wave Front and Wave Changing in External Field[J]. Applied Mathematics and Mechanics, 2005, 26(7): 854-860.

Citation:

LIU Shen-quan, SONG Le. Curvature Relation of Wave Front and Wave Changing in External Field[J]. Applied Mathematics and Mechanics, 2005, 26(7): 854-860.

Citation:

LIU Shen-quan, SONG Le. Curvature Relation of Wave Front and Wave Changing in External Field[J]. Applied Mathematics and Mechanics, 2005, 26(7): 854-860.

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Curvature Relation of Wave Front and Wave Changing in External Field

LIU Shen-quan¹,
SONG Le²

1.
Department of Mathematics, South China University of Technology, Guangzhou 510640, P. R. China;

Received Date: 2003-04-22
Rev Recd Date: 2005-04-16
Publish Date: 2005-07-15

Abstract

Abstract

The changing of wave structure in excitable media in external field is studied and the curvature relation of wave front is analyzed. Under external stimulus the normal velocity of wave front has linear relation with mean curvature of wave front, plane velocity and external field. The simulation methods have been used to analyze Bar-Eiswirth model with external field and obtain the wave pattern of excitable media contained external stimulus. These theoretical analysis and simulation results are identical with experiments of BZ reaction. So the results here theoretically explain the BZ phenomenon under external field and the simulation results here have rich wave patterns.
- excitable medium,
- spiral wave,
- pattern,
- external field

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References(10)

References

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