Cyclicité finie des polycycles hyperboliques de champs de vecteurs du plan. Algorithme de finitude. (Finite cyclicity of hyperbolic polycycles of plane vector fields. Finiteness algorithm)

DOI10.5802/aif.1271zbMath0725.58032OpenAlexW2330178034MaRDI QIDQ2276826

Abderaouf Mourtada

Publication date: 1991

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1991__41_3_719_0

zbMATH Keywords

saddle pointvector fieldsfinite cyclicitydisplacement maphyperbolicity ratiogeneric unfolding

Mathematics Subject Classification ID

Dynamical systems with hyperbolic behavior (37D99)

Related Items (12)

Bifurcation of limit cycles in the neighborhood of generic hyperbolic polycycles with three vertices ⋮ Centennial History of Hilbert's 16th Problem ⋮ Unfoldings of saddle-nodes and their Dulac time ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:4857456 A poincar�-bendixson theorem for analytic families of vector fields] ⋮ Applications de Dulac et applications pfaffiennes ⋮ Linearization of families of germs of hyperbolic vector fields ⋮ Analytic moduli for parabolic Dulac germs ⋮ Multi-layer canard cycles and translated power functions ⋮ Bifurcation of limit cycles near polycycles with \(n\) vertices ⋮ Bifurcations of zeros in translated families of functions and applications ⋮ Linearization of germs of hyperbolic vector fields. ⋮ Cyclicity of canard cycles with hyperbolic saddles located away from the critical curve

Cites Work

• Keeping track of limit cycles
• Bifurcation of limit cycles in the neighborhood of generic hyperbolic polycycles with three vertices
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Cyclicité finie des polycycles hyperboliques de champs de vecteurs du plan. Algorithme de finitude. (Finite cyclicity of hyperbolic polycycles of plane vector fields. Finiteness algorithm)