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n维复Swift-Hohenberg方程的动态分叉

肖庆坤 高洪俊

肖庆坤, 高洪俊. n维复Swift-Hohenberg方程的动态分叉[J]. 应用数学和力学, 2010, 31(6): 710-721. doi: 10.3879/j.issn.1000-0887.2010.06.008
引用本文: 肖庆坤, 高洪俊. n维复Swift-Hohenberg方程的动态分叉[J]. 应用数学和力学, 2010, 31(6): 710-721. doi: 10.3879/j.issn.1000-0887.2010.06.008
XIAO Qing-kun, GAO Hong-jun. Dynamic Bifurcation of the n-Dimensional Complex Swift-Hohenberg Equation[J]. Applied Mathematics and Mechanics, 2010, 31(6): 710-721. doi: 10.3879/j.issn.1000-0887.2010.06.008
Citation: XIAO Qing-kun, GAO Hong-jun. Dynamic Bifurcation of the n-Dimensional Complex Swift-Hohenberg Equation[J]. Applied Mathematics and Mechanics, 2010, 31(6): 710-721. doi: 10.3879/j.issn.1000-0887.2010.06.008

n维复Swift-Hohenberg方程的动态分叉

doi: 10.3879/j.issn.1000-0887.2010.06.008
基金项目: 国家自然科学基金资助项目(10871097);江苏省研究生培养创新工程2009年度资助项目(CX09B-296Z)
详细信息
    作者简介:

    肖庆坤(1983- ),男,山东人,博士生(E-mail:xiaoqingkun@hotmail.com);高洪俊(联系人.Te:l+86-25-85898771;E-mail:gaohj@njnu.edu.cn).

  • 中图分类号: O175

Dynamic Bifurcation of the n-Dimensional Complex Swift-Hohenberg Equation

  • 摘要: 考虑复Swift-Hohenberg方程的分叉问题.首先对复Swift-Hohenberg方程在一维区域(0,L)上的吸引子分叉进行了考虑.而后给出了n维复Swift-Hohenberg方程,在一般区域上Dirichlet边界条件下和周期边界条件下,当参数λ穿过某些分叉点时从平凡解处分叉出吸引子,并对吸引子分叉的稳定性进行了分析.
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出版历程
  • 收稿日期:  1900-01-01
  • 修回日期:  2010-05-10
  • 刊出日期:  2010-06-15

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