• DocumentCode
    2919406
  • Title

    Symbolic Computation for a Class Vector Field with Double Resonance Hopf Bifurcation

  • Author

    Wang, Yunhai ; Han, Jinglong

  • Author_Institution
    Inst. of Vibration Eng. Res., Nanjing Univ. of Aeronaut. & Astronaut., Nanjing
  • fYear
    2009
  • fDate
    20-22 Feb. 2009
  • Firstpage
    136
  • Lastpage
    140
  • Abstract
    In this paper, by applying a reversible linear transform and a near-identity transformation, we obtain a simplest normal form for a class vector fields with double bifurcation. We have implemented an algorithm in Maple 12 and obtained an example of the further reduced normal forms up to some finite order.
  • Keywords
    bifurcation; symbol manipulation; transforms; class vector field; double resonance Hopf bifurcation; near-identity transformation; reversible linear transform; symbolic computation; Aerodynamics; Bifurcation; Differential equations; Eigenvalues and eigenfunctions; Jacobian matrices; Limit-cycles; Nonlinear dynamical systems; Resonance; Space technology; Vectors; Maple; Symbolic Computation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Electronic Computer Technology, 2009 International Conference on
  • Conference_Location
    Macau
  • Print_ISBN
    978-0-7695-3559-3
  • Type

    conf

  • DOI
    10.1109/ICECT.2009.12
  • Filename
    4795936
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2919406