𝔖 Bobbio Scriptorium
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Limit cycles for two families of cubic systems

✍ Scribed by M.J. Álvarez; A. Gasull; R. Prohens


Book ID
119330945
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
359 KB
Volume
75
Category
Article
ISSN
0362-546X

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Small amplitude limit cycles of symmetri
✍ Terence R. Blows 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 444 KB

Hilbert's Sixteenth Problem concerns the number and relative position of limit cycles in a planar polynomial system of differential equations. We show, using multiple Hopf bifurcation from multiple fine foci, that limit cycle configurations of types (3, 3, -2, -2) and (2, 2, 1, 1, -1) occur in symme