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Uniqueness of limit cycles in liénard-type equations

✍ Scribed by H.I. Freedman; Y. Kuang


Book ID
118408089
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
345 KB
Volume
15
Category
Article
ISSN
0362-546X

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A Note on “Uniqueness of Limit Cycles in
✍ Robert E. Kooij; Sun Jianhua 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 255 KB

proposed a theorem to guarantee the uniqueness of limit cycles for the generalized Lienard system Ž . Ž . Ž . dxrdt s h y y F x , dyrdt s yg x . We will give a counterexample to their Ž . theorem. It will be shown that their theorem is valid only if F x is monotone on certain intervals. For this ca