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Limit cycles of cubic polynomial vector fields via the averaging theory

✍ Scribed by Jaume Giné; Jaume Llibre


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
242 KB
Volume
66
Category
Article
ISSN
0362-546X

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Limit cycles, invariant meridians and pa
✍ Jaume Llibre; João C. Medrado 📂 Article 📅 2011 🏛 Elsevier Science 🌐 French ⚖ 115 KB

We study the polynomial vector fields of arbitrary degree in R 3 having the 2-dimensional torus invariant by their flow. We characterize all the possible configurations of invariant meridians and parallels that these vector fields can exhibit. Furthermore we analyze when these invariant either meri