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Differential equations uniquely determined by algebras of point symmetries

✍ Scribed by G. Manno; F. Oliveri; R. Vitolo


Book ID
106541714
Publisher
SP MAIK Nauka/Interperiodica
Year
2007
Tongue
English
Weight
450 KB
Volume
151
Category
Article
ISSN
0040-5779

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Periodic solutions of second-order diffe
✍ Isaac A. GarcΓ­a; Jaume GinΓ©; Susanna Maza πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 426 KB

In this paper, we study some aspects of the dynamics in the phase plane of smooth secondorder differential equations ẍ = w(x, αΊ‹) possessing an r-dimensional Lie point symmetry algebra L r with r β‰₯ 2, focusing on the existence, nonexistence and localization periodic orbits. Finally, it is proved that