Regular and chaotic dynamics of two-ring phase locked system part 2. peculiarities of nonlinear dynamics of frequency-phase system with identical third-order filters in control circuits
Abstract:
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 are presented. The study was carried out on the basis of mathematical model of the system with two degrees 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 and chaotic modes of different complexity. 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.
Keywords:Systems with frequency-phase control, dynamical states, stability, bifurcation, attractors, phase portraits, synchronous and non-synchronous modes, dynamical chaos.
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