For citation:
Ponomarenko V. P. Regular and chaotic dynamics of two-ring phase locked system. Part 1 - Dynamics of frequency-phase system with identical first-order filters in control circuits. Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, vol. 22, iss. 2, pp. 25-35. DOI: 10.18500/0869-6632-2014-22-2-25-35
Regular and chaotic dynamics of two-ring phase locked system. Part 1 - Dynamics of frequency-phase system with identical first-order filters in control circuits
We present the results of investigation of dynamical modes in the model of oscillatory system with frequency-phase control using multi-frequency discriminator inversely switched in the chain of frequency control. The study was carried out on the basis of mathematical model of the system with one degree of freedom with the use of qualitative and numerical methods of nonlinear dynamics. It is shown that in such a system may be realized both synchronous and great number of non-synchronous periodic modes. Location parameters domains are established with different dynamic modes of the system. The processes developing in the domain of instability of the synchronous mode are considered.
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