ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

ensemble of oscillators

Nonlinear dynamics of a ring of three phase systems

Nonlinear dynamics of the ensemble consisting of three phase-locked generators, which are coupled in a ring, is discovered. By force of computational modeling, which is based on the theory of oscillations, the regimes of the generators collective behavior is examined; the districts of synchronous and quasi-synchronous regimes are distinguished in the parameter space; the restructuring of the dynamics behavior on the boards of the distinguished districts is analyzed.

The reconstruction of the couplings structure in the ensemble of oscillators according to the time series via phase dynamics modeling

Topic. In this paper, we investigate the applicability of the known method for detecting the couplings between two oscillators, based on experimental phase dynamics modeling by phases time series in cases where there are several peaks in the signal power spectrum. The problem of revealing the structure of couplings in ensembles (presence, directions and intensity of interactions between elements) by experimental recordings of their oscillations is relevant for systems of different nature and applications.