Curvature of Cycles of Phase Systems with Multistability

Curvature of Cycles of Phase Systems with Multistability

In this paper, we consider a system of differential equations describing a mathematical model of a phase-locked loop with a delay. We introduce the concept of the curvature of a cycle, which is applied to analyzing the proximity of cycles of nonphase and phase systems.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2024, Vol.283 (3), p.428-435
Hauptverfasser: Mamonov, S. S., Ionova, I. V., Kharlamova, A. O.
Format: Artikel
Sprache:eng
Schlagworte:
Curvature
Differential equations
Mathematics
Mathematics and Statistics
Phase locked loops
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Beschreibung
Zusammenfassung:In this paper, we consider a system of differential equations describing a mathematical model of a phase-locked loop with a delay. We introduce the concept of the curvature of a cycle, which is applied to analyzing the proximity of cycles of nonphase and phase systems.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-024-07271-1