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Lie symmetries of quadratic two-dimensional difference equations

✍ Scribed by M. A. Almeida; F. C. Santos; I. C. Moreira

Publisher
Springer
Year
1997
Tongue
English
Weight
233 KB
Volume
36
Category
Article
ISSN
0020-7748

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Periodic solutions of second-order diffe
Periodic solutions of second-order differential equations with two-dimensional Lie point symmetry algebra
✍ 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