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
- 
							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
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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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