For citation:
Ponomarenko V. P. Dynamical regimes in models of autooscillatory systems with frequency and frequency-phase control. Izvestiya VUZ. Applied Nonlinear Dynamics, 2007, vol. 15, iss. 3, pp. 33-51. DOI: 10.18500/0869-6632-2007-15-3-33-51
Dynamical regimes in models of autooscillatory systems with frequency and frequency-phase control
We present the results of investigation of dynamical regimes in the models of oscillatory systems with frequency and frequency-phase control. The processes of excitement of nonsynchronous regimes and transitions between them are considered. A special attention is given to the study of the origin and stages of development of deterministic chaos in these systems. The existence of several types of chaotic attractors is established. Various scenarios of transition from regular dynamical regimes to chaotic ones under variation of the systems parameters are analyzed. The results are presented in the form of one- and two-parameter bifurcation diagrams, phase portraits and waveforms of attractors.
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