The half-plane pull-in range of a second-order phase-locked loop

DOI10.1016/0016-0032(96)00010-5zbMath0870.34042OpenAlexW2061212285MaRDI QIDQ1916954

Bassam A. Harb, John L. Stensby

Publication date: 8 September 1997

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(96)00010-5

zbMATH Keywords

nonlinear differential equationslimit cyclephase-locked loopPLLunstable separatrix cycle

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear systems in control theory (93C10) Bifurcation theory for ordinary differential equations (34C23) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (2)

Exploring the Dynamics of a Third-Order Phase-Locked Loop Model ⋮ Chaos and bifurcation in a third-order phase locked loop

Cites Work

• Unnamed Item
• A Floquet theory of the linear synchronous machine
• Saddle node bifurcation at a nonhyperbolic limit cycle in a phase locked loop
• Numerical computation of nonlinear forced oscillations by Galerkin's procedure
• False Lock and Bifurcation in the Phase Locked Loop

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