Bifurcations of infinite polycycles for polynomic vector fields on the plane

DOI10.5802/afst.786zbMath0831.34038OpenAlexW2321988677MaRDI QIDQ1894801

Mohamed El Morsalani

Publication date: 12 February 1996

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1994_6_3_3_387_0

zbMATH Keywords

Hilbert's 16th problemfinite cyclicitypolycyclesdifferentiable vector fields on the plane

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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Cites Work

• Keeping track of limit cycles
• On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
• Finite cyclicity of loops and cusps
• The Structure of Local Homeomorphisms, III
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