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

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

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 t...

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Veröffentlicht in:Radiophysics and quantum electronics 2016-06, Vol.59 (1), p.48-58
Hauptverfasser: Aleshin, K. N., V.Matrosov, V., Shalfeev, V. D.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Artificial neural networks
Astronomy
Astrophysics and Astroparticles
Chain dynamics
Chains
Couplings
Dynamic tests
Dynamics
Hadrons
Heavy Ions
Joining
Lasers
Mathematical and Computational Physics
Nuclear Physics
Observations and Techniques
Optical Devices
Optics
Phase locked loops
Photonics
Physics
Physics and Astronomy
Quantum electronics
Quantum Optics
Theoretical
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Beschreibung
Zusammenfassung: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.
ISSN:0033-8443
1573-9120
DOI:10.1007/s11141-016-9675-9