Titre :
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Limit cycles: qualitative and numerical study
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Auteurs :
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Sabah Benadouane, Auteur ;
Ahmed Bendjeddou, Directeur de thèse
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Type de document :
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document électronique
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Editeur :
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Sétif : Université ferhat Abbas faculté des Sciences département des Mathématique, 2022
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ISBN/ISSN/EAN :
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E-TH/2101
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Format :
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1vol.(063f.) / ill.en coul
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Note générale :
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Bibliogr.
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Langues:
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Anglais
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Catégories :
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Thèses (en français - en anglais) > Document électronique
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Mots-clés:
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Limit cycles
;
planar polynomial dif- ferential systems
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Résumé :
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The objective of this thesis is the qualitative study of some classes of nonlinear planar poly-nomial differential systems. Firstly,we have studied the integrability and the existence of a non-algebraic limit cycle of a class of differential systems of degree even,moreover,we have determined their explicit expression. On the other hand,we have introduced another class of differential systems of degree 6k+1,(k∈ N∗),we have studied their integrability ,and then we have shown that it has a two non-algebraic limit cycles explicitly given.We have given some examples to illustrate the results obtained for each class.Finally,we gave a description of the operation of the P4 software,which is used to draw the phase portrait of the solutions of planar polynomial differential systems.
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Côte titre :
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E-TH/2101
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En ligne :
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http://dspace.univ-setif.dz:8888/jspui/bitstream/123456789/4066/1/Thesis_Sabah_2022.pdf
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Exemplaires (1)
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E-TH/2101 | Thèse | Bibliothèque centrale | Disponible |
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