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Bifurcations from nondegenerate families of periodic solutions in Lipschitz systems

✍ Scribed by Adriana Buică; Jaume Llibre; Oleg Makarenkov

Book ID
113699314
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
287 KB
Volume
252
Category
Article
ISSN
0022-0396

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Non-local analysis of families of period
Non-local analysis of families of periodic solutions in autonomous systems
✍ A.A Zevin 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 449 KB

One-parameter families of periodic solutions arising from equilibrium positions of an autonomous system are considered. It is shown that they may be divided into families of the first and second kind; families of one kind cannot be identical when continued as the parameter is varied. As a result, a