Estimate of the number of limit cycles of a second-order autonomous system and their localization

DOI10.1134/S0012266114100139zbMath1310.34042OpenAlexW2040064802MaRDI QIDQ486297

Alexander Grin

Publication date: 15 January 2015

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

Full work available at URL: https://doi.org/10.1134/s0012266114100139

zbMATH Keywords

limit cyclesDulac-Cherkas function

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23)

Cites Work

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• Bendixson-Dulac criterion and reduction to global uniqueness in the problem of estimating the number of limit cycles
• Reduction to transversality of curves in the construction of a Dulac function
• On the approximation of the limit cycles function

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