Hidden boundary of global stability in a counterexample to the Kapranov conjecture on the pull-in range

DOI10.1134/s1064562423700898zbMath1530.93404WikidataQ124798671 ScholiaQ124798671MaRDI QIDQ6148174

Timur N. Mokaev, Unnamed Author, Nikolay V. Kuznetsov

Publication date: 11 January 2024

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

local and global bifurcationsphase-locked loophidden boundary of global stabilityKapranov conjecturepull-in rangeself-excited and hidden oscillations

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20)

Cites Work

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• On the Gardner problem for phase-locked loops
• Investigation of a piecewise linear dynamical system with three parameters
• The Gardner Problem and Cycle Slipping Bifurcation for Type-2 Phase-Locked Loops

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