In this note a simple example of an autonomous three-dimensional system is considered demonstrating quasiperiodic dynamics because of presence of two coexisting oscillatory components of independently controlling and, hence, generally incommensurate frequencies. Attractor in such a regime is a two-dimensional torus. Numerical illustrations of the stable quasiperiodic motions are presented. Some essential features of the dynamical behavior are revealed; in particular, charts of dynamical regimes on parameter planes are considered and discussed.

Original languageEnglish
Pages (from-to)1676-1681
Number of pages6
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume15
Issue number6
DOIs
StatePublished - Jun 2010

    Research areas

  • Attractor, Lyapunov exponent, Oscillator, Quasiperiodic, Torus

    Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics

ID: 86486409