The Dynamics of Small-Sized Ensembles of the Phase-Locked Loops with Unidirectional Couplings


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Abstract

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.

About the authors

K. N. Aleshin

N. I. Lobachevsky State University of Nizhny Novgorod

Author for correspondence.
Email: kirill_al@bk.ru
Russian Federation, Nizhny Novgorod

V. V.Matrosov

N. I. Lobachevsky State University of Nizhny Novgorod

Email: kirill_al@bk.ru
Russian Federation, Nizhny Novgorod

V. D. Shalfeev

N. I. Lobachevsky State University of Nizhny Novgorod

Email: kirill_al@bk.ru
Russian Federation, Nizhny Novgorod

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