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On the stability of limit cycles for planar differential systems
Authors:H. Giacomini
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
Abstract:We consider a planar differential system View the MathML source, View the MathML source, where P and Q are C1 functions in some open set UR2, and View the MathML source. Let γ be a periodic orbit of the system in U. Let f(x,y):UR2R be a C1 function such that
View the MathML source
Keywords:Limit cycle   Planar differential system   Stability   Hyperbolicity   Polynomial vector field
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