• Volume
    259
  • Year
    2015
  • Page
    3825-3853
  • Source
    Journal of Differential Equations
  • Format Published
    PDF
  • Descriptors

    Critical periods , Bifurcations , Isochronicity , Polynomial systems

  • Abstract
    We describe a general approach to studying bifurcations of critical periods based on a complexification of the system and algorithms of computational algebra. Using this approach we obtain upper bounds on the number of critical periods of several families of cubic systems. In some cases we overcome the problem of nonradicality of a relevant ideal by moving it to a subalgebra generated by invariants of a group of linear transformations.
  • Call. No.
    EA 111
  • IndexDate
    1397/11/10
  • Indexer
    Dashagha
  • Title of Article

    Bifurcation of critical periods of polynomial systems

  • RecordNumber
    113
  • Issue/Number
    8
  • Author/Authors

    Ferčec, Brigita , Levandovskyy, Viktor , Romanovski, Valery G. , Shafer, Douglas S.

    • Link To Document
    https://library.iut.ac.ir/dl/search/default.aspx?Term=113&Field=0&DTC=150