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Existence criteria for cycles in two-dimensional quadratic systems

✍ Scribed by G. A. Leonov


Book ID
111502496
Publisher
Allerton Press, Inc.
Year
2007
Tongue
English
Weight
172 KB
Volume
40
Category
Article
ISSN
1063-4541

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A criterion for the existence of four li
✍ G.A. Leonov πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 311 KB

A method for the asymptotic integration of the trajectories is proposed for the LiΓ©nard equation. The results obtained by this method are used to prove the existence of two "large" limit cycles in quadratic systems with a weak focus. The application of standard procedures of small perturbations of t