• DocumentCode
    1442761
  • Title

    The extended Poincare-Bendixson theorem

  • Author

    Hartley, Tom T.

  • Author_Institution
    Dept. of Electr. Eng., Akron Univ., OH, USA
  • Volume
    36
  • Issue
    6
  • fYear
    1989
  • fDate
    6/1/1989 12:00:00 AM
  • Firstpage
    933
  • Lastpage
    934
  • Abstract
    An extension is presented of the classical Poincare-Bendixson theorem to a higher dimension. It is shown that this extension can be helpful in predicting when chaotic as well as other cycles exist. An example illustrates its use
  • Keywords
    chaos; limit cycles; stability; Poincare-Bendixson theorem; chaotic cycles; limit cycles; stability; Chaos; Circuit stability; Coupling circuits; Digital filters; Limit-cycles; Notice of Violation; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/31.90425
  • Filename
    90425
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1442761