Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (7): 929-937 .

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CURVATURE RELATION OF WAVE FRONT AND WAVE CHANGING IN EXTERNAL FIELD

LIU Shen-quan, SONG Le   

    1. Department of Mathematics, South China University of Technology, Guangzhou 510640, P.R.China;
    2. School of Information Technology, The University of Sydney, Australia
  • Received:2003-04-22 Revised:2005-04-16 Online:2005-07-18 Published:2005-07-18
  • Contact: LIU Shen-quan

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.

2010 MSC Number: 

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