期刊文献+

反应扩散系统中短波不稳定性下的时空斑图

Spatio-temporal Patterns in Reaction-diffusion Model with Short-wave Instability
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摘要 利用扩展的三变量布鲁塞尔模型,得到了新的时空斑图,其中包括振荡四边形斑图、调制条纹斑图以及螺旋波斑图.通过对模型进行线性稳定性分析,发现这些时空斑图是由于短波不稳定性所引起的.另外,还研究了系统大小对时空斑图的影响. New spatio-temporal patterns including oscillating square pattern, modulated stripe pattern and spiral pattern have been found in a three-variable Brusselator model. It is found that these pattern are caused by short-wave instability through the linear stability analysis. In addition, the effect of system size on the patterns has been also studied.
出处 《河北大学学报(自然科学版)》 CAS 北大核心 2007年第4期361-364,共4页 Journal of Hebei University(Natural Science Edition)
基金 国家自然科学基金资助项目(10647123)
关键词 反应扩散 短波不稳定性 时空斑图 reaction-diffusion short-wave instability spatio-temporal pattern
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参考文献8

  • 1CROSS M C,HOHENBERG P.Pattern formation outside of equilibrium[J].Rev Mod Phys,1993,65:851-1100.
  • 2ECKE R E,YU Y,MAINIEN R,et al.Excitation of spirals and chiral-symmetry breaking in Rayleigh-Benard convection[J].Science,1995,269:1704-1707.
  • 3OUYANG Q,FLESSELLES J M.Transition from spirals to defect turbulence driven by a convective instability[J].Nature,1996,379:143 -146.
  • 4TURING A M.The chemical basis of morphogenesis[J].Phil,Trans R Soc London Ser B,1952,327:37-72.
  • 5ZAIKIN A N,ZHABOTINSKY A M.Concentration wave propagation in two-dimensional liquid-phase self-oscillating system[J].Nature,1970,225:535-537.
  • 6JOHN R BE BRUYN,LEWIS B C,SHATTUCK M D,et al.Spiral patterns in oscillated granular layers[J].Phys Rev E,2001,63:041305.
  • 7刘富成,董丽芳,贺亚峰,尹增谦.介质阻挡流光放电中的螺旋波与靶波[J].河北大学学报(自然科学版),2004,24(3):251-254. 被引量:11
  • 8ZHABOTINSY A M,DOLNIK M,EPSTEIN I R.Pattern formation arising from wave instability in a simple reaction-diffusion system[J].J Chem Phys,1995,103:10306-10314.

二级参考文献7

  • 1ECKE R E, YU Y, MAINIERI R, et al. Excitation of spirals and chiral - symmetry breaking in Rayleigh - Benard convection [J]. Science, 1995,269:1704-1707.
  • 2FRISCH T,RICA S,COULLET P, et al. Spiral waves in liquid crystal[J]. Phys Rev Lett, 1994,72:1471 - 1474.
  • 3ZAIKIN A N, ZHABOTINSKY A M. Concentration wave propagation in two- dimensional liquid - phase self- oscillating system[J ]. Nature, 1970,225: 535 - 537.
  • 4YONGGUN JUN,KIPOM KIM,HYUK PAK. Dynamics of spiral patterns in vertically vibrated thin granular layer system[J].Physics A, 2000,281:93 - 98.
  • 5GLASS L. Dynamics of cardiac arrhythrnias[J]. Physics Today, 1996,49:40- 45.
  • 6BELMONTE A, OUYANG Q, FLFSSELLES J - M. Experimental Survey of Spiral Dynamics in the Belousov- Zhabotinsky Reaction[J]. Phys Ⅱ France, 1997,7:1425-1468.
  • 7李雪辰,尹增谦,冯德魁,董丽芳.大气压介质阻挡放电特性研究[J].河北大学学报(自然科学版),2002,22(1):16-18. 被引量:12

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