Abstract
We consider a system of frequency-phase self-tuning whose mathematical model is a system of differential equations. In this paper, existence conditions for asynchronous modes of a phase system are obtained.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 148, Proceedings of the International Conference “Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory” (Ryazan, September 15–18, 2016), 2018.
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Kharlamova, A.O. Asynchronous Modes of Phase Systems. J Math Sci 248, 476–483 (2020). https://doi.org/10.1007/s10958-020-04888-w
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DOI: https://doi.org/10.1007/s10958-020-04888-w
Keywords and phrases
- system of differential equations
- frequency ring
- cycle of second kind
- system of matrix equations
- rotation of a vector field
- operator of shift along trajectory
- fixed point