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Semi-strong interactions of front and pulse solutions in reaction-diffusion systems

Semi-strong interactions of front and pulse solutions in reaction-diffusion systems
反应扩散系统中前沿溶液和脉冲溶液的半强相互作用
批准号:
22540118
负责人:
IKEDA Hideo
金额:
$2.66万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (C)
财政年份:
2010
资助国家:
日本
项目状态:
已结题
起止时间:
2010-04-01 至 2014-03-31

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中文摘要
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英文摘要
Dynamics of interactions between traveling front or back waves and the heterogeneity in the media in reaction-diffusion systems are considered. Applying the center manifold theory, we clarify the structure of reduced ODE dynamics on a center manifold, depending on the strength of the heterogeneity.Furthermore, dynamics of interactions between traveling pulses, which are given by semi-strong interactions between traveling front and back waves, and the heterogeneity are also considered.
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Fast reaction limit of a three-component reaction–diffusion system
三组分反应扩散体系的快反应极限
DOI: 10.1016/j.jmaa.2010.12.040
发表时间: 2011
期刊: Journal of Mathematical Analysis and Applications
影响因子: 1.3
作者: [H. Murakawa, H. Ninomiya]
通讯作者: H. Ninomiya
Numerical approximation of a reaction-diffusion system with fast reversible reaction
具有快速可逆反应的反应扩散系统的数值近似
DOI: --
发表时间: 2010
期刊: Chinese Annals of Mathematics B
影响因子: --
作者: [R. Eymard, D. Hilhorst, H. Murakawa and M. Olech]
通讯作者: H. Murakawa and M. Olech
DOI: --
发表时间: 2012
期刊:
影响因子: --
作者: [Ekeoma R. Ijioma;T. Ogawa;A. Muntean]
通讯作者: Ekeoma R. Ijioma;T. Ogawa;A. Muntean
Standing Waves Joining with Turing Patterns in FitzHugh–Nagumo Type Systems
FitzHugh-Nagumo 型系统中驻波与图灵模式的结合
DOI: 10.1080/03605302.2010.509769
发表时间: 2011
期刊: Communications in Partial Differential Equations
影响因子: 1.9
作者: [Chao, Shin, Ya, S. Kung]
通讯作者: S. Kung
25
    Studies on Curriculum Development for Science and Mathematics Teacher Training in Developing Countries and Evaluation of the Curriculum
    • 批准号:
      20300258
    • 项目类别:
      Grant-in-Aid for Scientific Research (B)
    • 资助金额:
      $11.9万
    • 财政年份:
      2008
    • 负责人:
      IKEDA Hideo
    • 依托单位:
    Mathematical analysis of front and pulse dynamics in heterogeneous diffusive media
    • 批准号:
      19540121
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $2.83万
    • 财政年份:
      2007
    • 负责人:
      IKEDA Hideo
    • 依托单位:
    Development of Hands-on Teaching Materials for International Science Teacher Training and It's Evaluation
    • 批准号:
      17300250
    • 项目类别:
      Grant-in-Aid for Scientific Research (B)
    • 资助金额:
      $10.84万
    • 财政年份:
      2005
    • 负责人:
      IKEDA Hideo
    • 依托单位:
    Research on the Development of Multimedia Educational Tool for Student Hands-on Activities in Biology and Environment Education, and it's Applicability for International Cooperation in Developing Country.
    • 批准号:
      14380059
    • 项目类别:
      Grant-in-Aid for Scientific Research (B)
    • 资助金额:
      $7.3万
    • 财政年份:
      2002
    • 负责人:
      IKEDA Hideo
    • 依托单位:
    海外基金