We study collective dynamics of a small-sized chain of the unidirectionally coupled phase-locked loop. The conditions for the synchronous-regime existence are found, the asynchronous selfoscillation regimes and the transitions among them are studied, and the property of inheriting the structure of the parameter space of the chain when a new element is added to it is established.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 59, No. 1, pp. 55–66, September 2016.
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Aleshin, K.N., V.Matrosov, V. & Shalfeev, V.D. The Dynamics of Small-Sized Ensembles of the Phase-Locked Loops with Unidirectional Couplings. Radiophys Quantum El 59, 48–58 (2016). https://doi.org/10.1007/s11141-016-9675-9
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DOI: https://doi.org/10.1007/s11141-016-9675-9