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外界场作用下激发介质的波前曲率关系 被引量:4

Wave-front Curvature Relation of Exciting Media Affected by External Field
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摘要 通过波前曲面上的移动坐标系和波前边界层的摄动分析 ,得到波前曲面的法向速度与波前曲率、外界场之间的线性关系 ,即场作用下的Eikonal方程 .此关系的物理意义解释了激发介质螺旋波、回卷波在外界场作用下的Belousov Zhabotinsky实验现象 ; Through the moving coordinates and the perturbati on analysis of boundary layer of wave front, the linear relationship between the n ormal velocity and the wave-front curvature and the external field, that is, th e Eikonal equation in external field, was obtained. The physical meaning of this relationship can be used to explain the Belousov-Zhabotional experimental phen omenon of spiral wave and scroll wave affected by external field, while the geom etric meaning of it is to give a theoretic method to determine the shape of wave -front boundary.
作者 刘深泉
出处 《华南理工大学学报(自然科学版)》 EI CAS CSCD 北大核心 2004年第1期90-92,共3页 Journal of South China University of Technology(Natural Science Edition)
基金 国家自然科学基金资助项目 (1990 2 0 0 5)
关键词 激发介质 波前曲率 外界场 螺旋波 回卷波 exciting media wave front curvature external fie ld spiral wave scroll wave
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参考文献8

  • 1欧阳顾.反应扩散系统中的斑图动力学[M].上海:上海科技教育出版社,2000..
  • 2Tyson J J, Keener J P. The dynamics of scroll waves in excitable media [J]. SIAM Rev, 1992,34 : 1 - 39.
  • 3Winfree A T. Stable particle-like solutions to the nonlinear wave equations of three-dimensional excitable media [ J]. SIAM Rev ,1990,32 : 1 - 53.
  • 4Tomohilo Y, Muller S C. Front geometric of chemical waves under anisotropic condition [ J ]. Phys, 1991,D49:40 - 46.
  • 5Krinsky V,Hamm E,Voignier V. Dense and sparse vortices in excitable media drift in opposite directions in electric field [ J ]. Plays Rev, 1996,76 : 3 854 - 3 857.
  • 6Li Ge,Ouyang Qi,Pertsov V,et al. Transition from simple rotating chemical spirals to meandering and traveling spirals [ J]. Phys Rev Lett, 1996,77 :2 105 - 2 108.
  • 7Steinbock O,Zykov V,Muller S C. Control of spiral-wave dynamics in active media by periodic modulation of excitability [J]. Nature,1993,366:322 -324.
  • 8Vinson M, Mironov S,Mulvey S, et al. Control of spiral orientation and lifetime of scroll rings in excitable media[ J ]. Nature, 1997,386:477 - 480.

同被引文献15

  • 1Dowle M, Mantel R M. Fast simulations of waves in three-dimensional excitable media[J]. Chaos, 1999:7 (11) : 2529-2546.
  • 2Duckett G, Barkley D. Modeling the dynamics of cardiac action potentials[J]. Physical Review Letters, 2000:85 (4) : 884-887.
  • 3Mantel R M, Barkley D. Parametric forcing of scroll wave panems in three dimensional excitable media[J].Physical D, 2001: 149.
  • 4Henshaw W D. A fourth-order accurate method for the incompressible Navier-Stokes equations on overlapping grids [J]. Journal of Computational Physics, 1994, 113 (1) : 13-25.
  • 5Bassetti F, Brown D, Davis K. Overture: an object-oriented framework for high performance scientific computing [C]// Conference on High Performance Networking and Computing. San Jose, CA.1999: 1-9.
  • 6陆基孟.地震勘探原理[M].北京:石油工业出版社,1982.111.
  • 7胡建伟 汤怀民.微分方程数值方法[M].北京:科学出版社,1999..
  • 8Thomson W T.Transmission of elastic waves through a stratified solid medium [J].Appl Mech,1950,21:89-93.
  • 9Thrower E N.The computation of dispersion of elastic in layered media [J].Appl Mech,1965,21:89-93.
  • 10Brekhovskikh L M.Waves in layered media [M].2nd ed.New York:Academic Press,1980.

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