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

dynamic regimes

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.

On quasi-­synchronous regimes in a phase lock loop with the second­-order filter and approximate inclusion of the delay

For a typical phase lock loop with the second-order filter and delayed feedback, conditions of appearance and characteristics of regular and chaotic automodulation regimes are studied.

Nonlinear dynamics of a ring of two coupled phase locked loops

Nonlinear dynamics of the ensemble consisting of two phase­locked generators, which are coupled in a ring with feedback, is discovered. The conditions of stability of the synchronous regimes and appropriatenesses of excitation and progress of the non­synchronous regimes are examined within the bounds of the dynamic model with one and a half degrees of freedom. The extensive image of the dynamic regimes and bifurcating transitions, creating resources for the formation in the system of various types of oscillations, is discovered.