квазипериодические бифуркации.

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.

«OSCILLATOR DEATH» AND QUASIPERIODIC BIFURCATIONS IN LOW- DIMENSIONAL ENSEMBLE OF VAN DER POL OSCILLATORS

The dynamics of the four dissipatively coupled van der Pol oscillator is considered. Lyapunov chart is presented in the parameter plane and its arrangement is discusses. The effect of increase of the threshold for the «oscillator death» regime and the possibility of complete and partial broadband synchronization are revealed. We discuss the bifurcations of tori in the system at large frequency detuning of the oscillators, in particular, quasi-periodic saddle-node and Hopf bifurcations.