• Title of article

    Bifurcations and dynamical evolution of eigenvalues of Hamiltonian systems

  • Author/Authors

    Hsiao، نويسنده , , F.Y. and Scheeres، نويسنده , , D.J.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2006
  • Pages
    10
  • From page
    66
  • To page
    75
  • Abstract
    The transient behavior of the eigenvalues of a state transition matrix in a Hamiltonian system is investigated. Mathematical tools are developed to derive the necessary and sufficient conditions for bifurcations of eigenvalues off and onto the unit circle. The transient behavior of eigenvalues is quantified and the mechanism by which instability transitions occur is identified. This work can be seen as a generalization of the Krein Signature.
  • Keywords
    Bifurcation , Transient Stability , Krein signature , Hamiltonian system , Evolution of eigenvalues
  • Journal title
    Physica D Nonlinear Phenomena
  • Serial Year
    2006
  • Journal title
    Physica D Nonlinear Phenomena
  • Record number

    1727538

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=1727538