Periodic perturbations of on oscillator x¨+x 3 +axx˙ = 0, a 2 < 8, are considered. Smallness of perturbations is defined by the smallness of the neighborhood of the state of equilibrium x = 0 and by a small positive parameter. Branching of the state of equilibrium x = 0 to invariant two-dimentional tori is under consideration. Refs 4.
Translated title of the contributionBIFURCATION OF THE STATE OF EQUILIBRIUM OF AN OSCILLATOR WITH NON-LINEAR RESTORING FORCE OF THE THIRD ORDER
Original languageRussian
Pages (from-to)171-175
JournalВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. СЕРИЯ 1: МАТЕМАТИКА, МЕХАНИКА, АСТРОНОМИЯ
Volume2(60)
Issue number2
StatePublished - 2015

    Research areas

  • bifurcation, Invariant torus

ID: 5712525