The interplay among the topological bifurcation diagram, integrability and geometry for the family \(\mathrm{QSH(D)}\)
DOI10.1007/s10711-023-00827-6zbMath1526.34003MaRDI QIDQ6093592
Ana Maria Travaglini, Marcos C. Mota, Regilene D. S. Oliveira
Publication date: 7 September 2023
Published in: Geometriae Dedicata (Search for Journal in Brave)
invariant algebraic curvequadratic differential systembifurcation diagram and phase portraitconfiguration of invariant hyperbolas and linesDarboux and Liouvillian integrability
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Geometric methods in ordinary differential equations (34A26) Bifurcation theory for ordinary differential equations (34C23) Explicit solutions, first integrals of ordinary differential equations (34A05) Invariant manifolds for ordinary differential equations (34C45)
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