• Volume
    25
  • Year
    2015
  • Page
    1550082(11 pages)
  • Source
    International Journal of Bifurcation and Chaos
  • Format Published
    PDF
  • Descriptors

    Reaction–diffusion , Bogdanov–Takens singularity , delay; normal form , codimension , two bifurcation

  • Abstract
    In this paper, a class of reaction–diffusion system with Neumann boundary condition is considered. By analyzing the generalized eigenvector associated with zero eigenvalue, an equivalent condition for the determination of Bogdonov–Takens (B–T) singularity is obtained. Next, by using center manifold theorem and normal form method, we have a two-dimension ordinary differential system on its center manifold. Finally, two examples show that the given algorithm is effective.
  • Call. No.
    EA 119
  • IndexDate
    1397/11/14
  • Indexer
    Dashagha
  • Title of Article

    Bogdanov–Takens Bifurcation of a Class of Delayed Reaction–Diffusion System

  • RecordNumber
    121
  • Issue/Number
    6
  • Author/Authors

    Cao, Jianzhi , Wang, Peiguang , Yuan, Rong , Mei, Yingying

    • Link To Document
    https://library.iut.ac.ir/dl/search/default.aspx?Term=121&Field=0&DTC=150