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Uniqueness of limit cycles and quotients of abelian integrals

✍ Scribed by J. Hainzl


Book ID
104331124
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
603 KB
Volume
30
Category
Article
ISSN
0362-546X

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Uniqueness of Algebraic Limit Cycles for
✍ Javier Chavarriga; Hector Giacomini; Jaume Llibre 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 102 KB

We know five different families of algebraic limit cycles in quadratic systems, one of degree 2 and four of degree 4. Moreover, if there are other families of algebraic limit cycles for quadratic systems, then their degrees must be larger than 4. It is known that if a quadratic system has an algebra