Antonovskaya Olga Georgievna (Candidate of Physical and Mathematical Sciences, Associate Professor,
Federal State Budgetary Educational Institution of Higher Education “Nizhny Novgorod State University of Architecture and Civil Engineering”
)
Besklubnaya Antonina Vyacheslavovna (Candidate of Pedagogical Sciences,
Federal State Budgetary Educational Institution of Higher Education “Nizhny Novgorod State University of Architecture and Civil Engineering”
)
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In mathematical modeling of the dynamics of discrete phase synchronization systems, the complexity of the mathematical model is mainly related to the dimensionality of the problem and the design of the state space. Thus, the appropriateness of using one or another method of its study is dictated by considerations related to the simplicity of the method and the acceptable accuracy of the results obtained. Consistent application of the point mapping method allows us to approach with a sufficient degree of clarity not only the formation of mathematical models of discrete systems, but also the study of their dynamics. This paper presents the results of a study of the dynamics of a frequency synthesizer with a pulse frequency-phase detector using the point mapping method. The mathematical model under study uses three phase subspaces corresponding to the piecewise constancy of the control signal. Particular importance is given to the study of possible transitions of the system trajectory between subspaces. A complete qualitative study of the stationary movements of the mathematical model of the system is carried out.
Keywords:discrete phase synchronization system, frequency synthesizer, mathematical model, point mapping method, phase subspace
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Citation link:
Antonovskaya O. G., Besklubnaya A. V. QUALITATIVE ANALYSIS OF THE DYNAMICS OF A MATHEMATICAL MODEL OF A FREQUENCY SYNTHESIZER WITH A PULSE FREQUENCY-PHASE DETECTOR USING PHASE SUBSPACES // Современная наука: актуальные проблемы теории и практики. Серия: Естественные и Технические Науки. -2025. -№02. -С. 36-40 DOI 10.37882/2223-2966.2025.02.04 |
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