The Dynamics of Small-Sized Ensembles of the Phase-Locked Loops with Unidirectional Couplings
- Authors: Aleshin K.N.1, V.Matrosov V.1, Shalfeev V.D.1
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Affiliations:
- N. I. Lobachevsky State University of Nizhny Novgorod
- Issue: Vol 59, No 1 (2016)
- Pages: 48-58
- Section: Article
- URL: https://journals.rcsi.science/0033-8443/article/view/243666
- DOI: https://doi.org/10.1007/s11141-016-9675-9
- ID: 243666
Cite item
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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