Conditions for the existence of cycles in a system of differential equations

DOI10.1134/S0012266122020033zbMath1502.34041OpenAlexW4225266556WikidataQ115248998 ScholiaQ115248998MaRDI QIDQ2135099

Yanyan Li

Publication date: 4 May 2022

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266122020033

zbMATH Keywords

phase lock-in, saddle cycle, positively invariant toroidal set

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Invariant manifolds for ordinary differential equations (34C45)

Cites Work

• Method of ``transition into space of derivatives: 40 years of evolution
• Conditions for the existence of limit cycles of the second kind for a system of differential equations. II
• Conditions for the existence of limit cycles of the second kind for a system of differential equations: I
• Theory of hidden oscillations and stability of control systems
• On the Gardner problem for phase-locked loops
• First-kind cycles of systems with cylindrical phase space
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