DOI

Using an example a system of two coupled generators of quasi-periodic oscillations, we study the occurrence of chaotic dynamics with one positive, two zero, and several negative Lyapunov exponents. It is shown that such dynamic arises as a result of a sequence of bifurcations of two-frequency torus doubling and involves saddle tori occurring at their doublings. This transition is associated with typical structure of parameter plane, like cross-road area and shrimp-shaped structures, based on the two-frequency quasi-periodic dynamics. Using double Poincare section, we have shown destruction of three-frequency torus.

Original languageEnglish
Article number111001
JournalJournal of Computational and Nonlinear Dynamics
Volume15
Issue number11
DOIs
StatePublished - Nov 2020

    Scopus subject areas

  • Control and Systems Engineering
  • Mechanical Engineering
  • Applied Mathematics

    Research areas

  • Chaos, Dynamical system, Lyapunov exponents, Multifrequency quasi-periodic oscillations, Torus-doubling bifurcation

ID: 86483395