Autoparametric Scenario of Transition to Chaotic Motion in Dynamical Systems

The characteristic features of transition from regular oscillations to chaotic motion in dynamical systems with finite or infinite dimension of phase space are discussed. It is established that for a specific form of the nonlinearity in these systems, chaotization of motion follows the same autoparametric scenario. The sequence of bifurcation phenomena in this case is the following: state at rest limiting cycle half-torus strange attractor. Based on the results of numerical modeling, we conclude that this scenario is universal. The results of numerical calculations are confirmed by field experiments with radio physical self-oscillating systems.