Dynamics of the coupled nonautonomous nonlinear oscillators with irrational driving frequencies ratio

In present article the system of the two coupled nonautonomous nonlinear oscillators with irrational driving frequencies ratio is investigated experimentally. The existence regions of the various dynamical types are presented on the external excitation parameter plan. It is shown that in the case of irrational driving frequencies ratio and as result invariance system dynamics due to phases or phase difference of excitation in phase space exist torus, double torus, strange nonchaotic attractor, chaos and hyperchaos only. Transition to chaos take place through strange nonchaotic attractor birth or torus – chaos intermittency.