Periodic perturbations of a nonlinear oscillator

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3 Scopus citations


We study small time-periodic perturbations of an oscillator with a power-law odd restoring force with exponent exceeding unity. We study two problems, one on the stability of the equilibrium and the other on the bifurcation of an invariant two-dimensional torus from the equilibrium. We construct a focal quantity and a bifurcation equation that find the character of stability and branching of the equilibrium.

Original languageEnglish
Pages (from-to)405-412
Number of pages8
JournalDifferential Equations
Issue number4
StatePublished - Apr 2016

Scopus subject areas

  • Analysis
  • Mathematics(all)

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