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A condition sufficient for nonexistence of a cycle in a two-dimensional system quadratic in one of the variables

✍ Scribed by V. A. Toponogov


Publisher
SP MAIK Nauka/Interperiodica
Year
1992
Tongue
English
Weight
129 KB
Volume
34
Category
Article
ISSN
0037-4466

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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