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Explicit limit cycle for class of multi-parameter polynomial differential system
Abdelkrim Kina  1, *, @  , Bendjeddou Ahmed  2, @  
1 : Département de Mathématiques et d'informatique, Université de Ghardaiıa, Noumirat BP 455,Route Ouargla Ghardaia, 47000 Ghardaia, Algeria  -  Website
2 : Laboratory of Applied Mathematics, Faculty of Sciences, University Ferhat Abbas S´etif 1, Algeria  -  Website
* : Corresponding author

In this paper, we establish several necessary conditions to confirm the existence of a non-algebraic
limit cycle for class of multi-parameter polynomial differential system, Moreover this limit cycle
is explicitly given in polar coordinates. Concrete example exhibiting the applicability of our result are introduced.

Subject : : Oral
Topics : Mathematical analysis
Keywords : Polynomial differential system ; sixteen Hilbert's problem ; Singular point ; periodic solution ; first integral ; limit cycle.
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