Efficient methods in the search for the periodic oscillations of dynamical systems are described. Their application to the sixteenth Hilbert problem for quadratic systems and the Aizerman problem is considered. A synthesis of the method of harmonic linearization with the applied bifurcation theory and numerical methods for calculting periodic oscillations is described.
Original languageEnglish
Pages (from-to)24-50
JournalJournal of Applied Mathematics and Mechanics
Volume74
Issue number1
DOIs
StatePublished - 2010

    Research areas

  • HILBERTS 16TH PROBLEM, QUADRATIC SYSTEMS, LIENARD EQUATION, LIMIT-CYCLES

ID: 5487228