Uniqueness of limit cycle for the quadratic systems with weak saddle and focus

DOI10.1007/s10114-004-0380-9zbMath1070.34049OpenAlexW2088896580MaRDI QIDQ705099

Shenqi Zhao, Pingguang Zhang

Publication date: 25 January 2005

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0380-9

zbMATH Keywords

limit cyclequadratic systemseparatrix cycleweak saddle

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Cites Work

• Existence of positive radial solutions for some quasilinear elliptic equations in annular domains
• On the number of limit cycles for the quadratic systems with a weak focus and a strong focus
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