Titre : | Limit cycles: qualitative and numerical study |
Auteurs : | Sabah Benadouane, Auteur ; Ahmed Bendjeddou, Directeur de thèse |
Type de document : | document électronique |
Editeur : | Sétif : Université ferhat Abbas faculté des Sciences département des Mathématique, 2022 |
ISBN/ISSN/EAN : | E-TH/2101 |
Format : | 1vol.(063f.) / ill.en coul |
Note générale : | Bibliogr. |
Langues: | Anglais |
Catégories : | |
Mots-clés: | Limit cycles ; planar polynomial dif- ferential systems |
Résumé : |
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. |
Côte titre : | E-TH/2101 |
En ligne : | http://dspace.univ-setif.dz:8888/jspui/bitstream/123456789/4066/1/Thesis_Sabah_2022.pdf |
Exemplaires (1)
Cote | Support | Localisation | Disponibilité |
---|---|---|---|
E-TH/2101 | Thèse | Bibliothèque centrale | Disponible |
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