Bifurcation and distribution of limit cycles for quadratic differential systems of type II

DOI10.1006/jmaa.1999.6303zbMath0930.34019OpenAlexW2035010944MaRDI QIDQ1290954

Xiang Zhang

Publication date: 9 February 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/00c9d2a0abdc0eae510403ae26a2ba997ed909d9

zbMATH Keywords

limit cyclesbifurcation diagramsseparatrix loopsquadratic differential systems

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)

Related Items

Ergodicity of limit cycles in quadratic systems

Cites Work

• A new class of quadratic systems
• On the relative position of limit cycles of a real quadratic differential system
• Separatrix cycles and mutiple limit cycles in a class of quadratic systems
• Uniqueness of limit cycles of quadratic system (III)\(_{m=0}\)
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