Three Dimensional Torus Breakdown and Chaos with Two Zero Lyapunov Exponents in Coupled Radio-Physical Generators
Using an example a system of two coupled generators of quasiperiodic 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 involve 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 quasiperiodic dynamics. Using double Poincar´e section we have shown destruction of three-frequency torus.