The study of the dynamic behavior of a rigid body with one fixed point (gyroscope) has a long history. A number of famous mathematicians and mechanical engineers have devoted enormous time and effort to clarify the role of dynamic effects on its movement (behavior) – stable, periodic, quasi-periodic or chaotic. The main objectives of this review are: 1) to outline the characteristic features of...

Abstract We provide an explicit $\mathcal {S}$ -adic representation of rank-one subshifts with bounded spacers and call the obtained in this way ‘minimal Ferenczi subshifts’. aim to show that approach is very convenient study dynamical behavior systems. For instance, we compute their topological rank, strong weak orbit equivalence class. observe they have induced system a Toeplitz subshift havi...