dynamic regimes

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.

ON QUASI­SYNCHRONOUS REGIMES IN A PHASE LOCK LOOP WITH THE SECOND­ORDER FILTER AND APPROXIMATE INCLUSION OF THE DELAY

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

NONLINEAR DYNAMICS OF A RING OF THREE PHASE SYSTEMS

Nonlinear dynamics of the ensemble consisting of three phase­locked 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 quasi­synchronous regimes are distinguished in the parameter space; the restructuring of the dynamics behavior on the boards of the distinguished districts is analyzed.