In Memoriam Professor Jindřich Nečas

详细信息    查看全文

• 作者：Hlavá ; &ccaron ; ek ; Ivan
• 刊名：Applications of Mathematics
• 出版年：2003
• 出版时间：2003
• 年：2003
• 卷：48
• 期：1
• 页码：73-74
• 全文大小：19 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Applications of Mathematics
  Mechanics, Fluids and Thermodynamics
  Analysis
  Mathematical and Computational Physics
  Applied Mathematics and Computational Methods of Engineering
  Optimization
  
• 出版者：Springer Netherlands
• ISSN：1572-9109

文摘

Consider a bifurcation problem, namely, its bifurcation equation. There is a diffeomorphism Φ linking the actual solution set with an unfolded normal form of the bifurcation equation. The differential DΦ(0) of this diffeomorphism is a valuable information for a numerical analysis of the imperfect bifurcation.

The aim of this paper is to construct algorithms for a computation of DΦ(0). Singularity classes containing bifurcation points with codim ≤ 3, corank = 1 are considered.