Nonlinear Dynamics and Rare Attractors in Driven Damped Pendulum Systems

The pendulum systems are widely used in the engineering, but their qualitative behavior hasn’t been investigated enough. Therefore the aim of this work is to study new nonlinear effects in three driven damped pendulum systems, which are sufficiently close to the real models used in dynamics of the machines and mechanisms. In this paper the existence of new bifurcation groups, rare attractors and chaotic regimes in the driven damped pendulum systems is shown