Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals
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Publication:1189454
zbMath0755.58002MaRDI QIDQ1189454
Henryk Żołądek, Robert Roussarie, Freddy Dumortier, Jorge Sotomayor
Publication date: 18 September 1992
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
limit cycleszerosbifurcationnormal formsplanar vector fieldsHilbert's 16th problemAbelian integralsunfoldings of codimension 3 singularities
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Normal forms for dynamical systems (37G05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Local and nonlocal bifurcation theory for dynamical systems (37G99) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)
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