Regularization and chaotization of maximal attractors in the Sommerfeld–Kononenko non-ideal "spherical pendulum — electric motor" system with time delays

Abstract

The influence of time-delay parameters on the bifurcations of “non-classical” maximal attractors in the Sommerfeld–Kononenko non-ideal dynamical system “spherical pendulum — electric motor” is investigated. Regular and chaotic maximal attractors of this system, as well as their bifurcations, are described. It is established that the presence of time delays can fundamentally change the type of limit sets of the considered dynamical system and significantly alter the scenarios of transition to deterministic chaos.