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- Title
Exact algebraic and non-algebraic limit cycles for a class of integrable quintic and planar polynomial differential systems.
- Authors
Ahmed, Bendjeddou; Aziza, Berbache; Rachid, Cheurfa
- Abstract
As an improvement of the work of J. Giné and M. Grau [8], we presente for the first time an integrable quintic planar differential system and prove by using the Poincaré return map that it admits a nested configuration formed by an algebraic and a non-algebraic limit cycles explicitely given was presented. Moreover, we show that this system do not possess other limit cycles.
- Subjects
LIMIT cycles; RICCATI equation; COMBINATORIAL dynamics; VAN der Pol equation; POLAR coordinates (Mathematics)
- Publication
Analele Ştiinţifice ale Universităţii 'Al.I. Cuza' din Iaşi. Matematică, 2016, Vol 64, Issue 2, p253
- ISSN
1221-8421
- Publication type
Article