Quasi-periodic oscillations in the system of three chaotic oscillators

Abstract

The dynamics of three coupled chaotic Rössler systems is considered. We discuss scenarios for the evolution of different types of regimes. The possibility of two- and three-frequency quasi-periodicity is shown. We considered the occurrence of resonanses on three-frequency torus, which leads to two-freqiency quasi-periodic regimes. The illustrations in the form of charts of the Lyapunov exponents, phase portraits of attractors plotted in the Poincare section and bifurcation diagrams are presented. We discuss the type of quasiperiodic bifurcation in the system.