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Bifurcation problem of critical points for quadratic differential systems

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Publication:1387537
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DOI10.1007/BF00713720zbMath0916.34032MaRDI QIDQ1387537

Xiang Zhang

Publication date: 12 July 1999

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)


zbMATH Keywords

critical points at infinity


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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  • Hilbert's 16th problem for quadratic vector fields
  • Separatrix cycles and mutiple limit cycles in a class of quadratic systems
  • Limit cycles and bifurcation curves for the quadratic differential system \((III)_{m=0}\) having three anti-saddles. I
  • Infinite singular points of quadratic systems in the plane




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