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Sufficient conditions for the intersection of orbits with the vertical isocline of the Liénard system

✍ Scribed by Yang, Xiaojing; Kim, Yong-In; Lo, Kueiming


Book ID
123592198
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
353 KB
Volume
57
Category
Article
ISSN
0895-7177

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Intersection with the vertical isocline
✍ A. Aghajani; A. Moradifam 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 271 KB

In this paper, we study the problem of whether all trajectories of the Liénard system ẋ = y -F(x) and ẏ = -g(x) cross the vertical isocline, which is very important for the existence of periodic solutions and oscillation theory. We solve this problem completely in some sense. Our results include a p