Documents

DOI

For the polynomial system x˙ = ix + xx¯(ax^2 + bxx¯ + cx¯^2) the study of critical
period bifurcations is performed. Using calculations with algorithms of computational commutative algebra it is shown that at most two critical periods can bifurcate from any nonlinear center of the system.
Translated title of the contributionБифуркация критических периодов квадратичных систем
Original languageEnglish
Article number76
Pages (from-to)1-18
Number of pages18
JournalElectronic Journal of Qualitative Theory of Differential Equations
Volume2018
Issue number76
DOIs
StatePublished - 2018

    Research areas

  • Bifurcations, Critical periods, Isochronicity, Polynomial systems, CUBIC SYSTEM, isochronicity, bifurcations, polynomial systems, VECTOR-FIELDS, RIGIDLY ISOCHRONOUS CENTERS, LOCAL BIFURCATIONS, CYCLICITY, critical periods, HOMOGENEOUS NONLINEARITIES, INTEGRABILITY CONDITIONS

    Scopus subject areas

  • Applied Mathematics

ID: 35259424