On the stability of limit cycles for planar differential systems |
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Authors: | H. Giacomini |
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Affiliation: | a Laboratoire de Mathématiques et Physique Théorique, C.N.R.S. UMR 6083, Faculté des Sciences et Techniques, Université de Tours, Parc de Grandmont, 37200 Tours, France b Departament de Matemàtica, Universitat de Lleida, Avda. Jaume II, 69, 25001 Lleida, Spain |
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Abstract: | We consider a planar differential system , , where P and Q are C1 functions in some open set U⊆R2, and . Let γ be a periodic orbit of the system in U. Let f(x,y):U⊆R2→R be a C1 function such that |
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Keywords: | Limit cycle Planar differential system Stability Hyperbolicity Polynomial vector field |
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