колебания

We propose a modified method for computing of the largest Lyapunov exponent of chaotic oscillatory regimes from point processes at the presence of measurement noise that does not influence on the system’s dynamics. This modification allow a verification to be made of the estimated dynamical characteristics precision.

We explore phase multistability which takes place in an ensemble of periodic oscillators under the action of long-distance couplings, which appear randomly between the arbitrary cells. The  system under study is Kuromoto’s model with additional dynamical interconnections between phase oscillators. The sequence of bifurcations, which accompany increasing of the strength of the global coupling is determined. Regions of multistability existance are defined.

The paper examines the impact of the slow movements to effective values of dissipative forces in the equations of fast motion of oscillatory system. It was previously shown that the dissipative characteristics obtained experimentally under harmonic oscillations can change significantly with polyharmonic excitation. In this paper the problem is considered in more detail in relation to the determination of the resonance amplitudes and threshold conditions for parametric and subharmonic resonances.