• DocumentCode
    1528469
  • Title

    An existence of inequality on a fine focus

  • Author

    Sáez, E. ; Szántó, I.

  • Author_Institution
    Dept. de Matematica, Univ. Tecnica Federico Santa Maria, Valparaiso, Chile
  • Volume
    37
  • Issue
    5
  • fYear
    1990
  • fDate
    5/1/1990 12:00:00 AM
  • Firstpage
    661
  • Lastpage
    663
  • Abstract
    It is shown that if in a polynomial vector field of degree n on the plane the critical point at the origin is a fine focus of order k, and if the Hopf bifurcation does not appear, then there exists an inequality between three consecutive derivatives of the Poincare maps
  • Keywords
    nonlinear systems; polynomials; Hopf bifurcation; Poincare maps; critical point; fine focus; inequality; polynomial vector field; Bifurcation; Circuit theory; Electrons; Frequency measurement; Impedance; Mirrors; Operational amplifiers; Passive filters; Polynomials; Voltage;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/31.55016
  • Filename
    55016