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The Cyclicity of Triangles and Segments in Quadratic Systems

✍ Scribed by H. Zoladek

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
803 KB
Volume
122
Category
Article
ISSN
0022-0396

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πŸ“œ SIMILAR VOLUMES

The Cyclicity of the Period Annulus of t
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The paper studies quadratic Hamiltonian centers surrounded by a separatrix contour having a form of a triangle. It is proved that in this situation the cyclicity of the period annulus under quadratic perturbations is equal to three.

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✍ Qidi Sui; Beiliang Du πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 137 KB

## Abstract Given an arbitrary 2‐factorization ${\cal F} = {F\_{1},F\_{2}, \cdots , F\_{v - 1/2}}$ of $K\_{v}$, let Ξ΄~__i__~ be the number of triangles contained in __F~i~__, and let δ = Σδ~__i__~. Then $\cal F$ is said to be a 2‐factorization with Ξ΄ triangles. Denote by Ξ”(__v__), the set of all Ξ΄