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.

Язык оригиналаанглийский
Номер статьи111001
ЖурналJournal of Computational and Nonlinear Dynamics
Том15
Номер выпуска11
DOI
СостояниеОпубликовано - ноя 2020

    Предметные области Scopus

  • Системотехника
  • Общее машиностроение
  • Прикладная математика

ID: 86483395