Аннотация:
We investigate strange nonchaotic self-oscillations in a dissipative system consisting
of three mechanical rotators driven by a constant torque applied to one of them. The
external driving is nonoscillatory; the incommensurable frequency ratio in vibrational-rotational
dynamics arises due to an irrational ratio of diameters of the rotating elements involved. It is
shown that, when losing stable equilibrium, the system can demonstrate two- or three-frequency
quasi-periodic, chaotic and strange nonchaotic self-oscillations. The conclusions of the work
are confirmed by numerical calculations of Lyapunov exponents, fractal dimensions, spectral
analysis, and by special methods of detection of a strange nonchaotic attractor (SNA): phase
sensitivity and analysis using rational approximation for the frequency ratio. In particular,
SNA possesses a zero value of the largest Lyapunov exponent (and negative values of the other
exponents), a capacitive dimension close to 2 and a singular continuous power spectrum. In
general, the results of this work shed a new light on the occurrence of strange nonchaotic
dynamics.