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Transitions to Chaotic Behavior of a Frequency-Phase Lock System

The results of a numerical investigation of dynami-cal states and bifurcation transitions of a frequency-phase-feedback oscillator’s model are presented in the paper. The behavior of the examined model is described by nonlinear six-dimensional set of differential equa-tions with periodical nonlinearities. It is shown that the model demonstrates complex behavior including peri-odic and chaotic self-modulation oscillations, and vari-ous transitions to chaotic modes. Results are presented using one-parameter bifurcation diagrams, phase por-traits of attractors, time realizations of oscillations, and Poincare maps.
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