Qualitative theory of planar differential systems
The book deals essentially with systems of polynomial autonomous ordinary differential equations in two real variables. The emphasis is mainly qualitative, although attention is also given to more algebraic aspects as a thorough study of the center/focus problem and recent results on integrability....
Zapisane w:
| 1. autor: | |
|---|---|
| Format: | Livre numérique |
| Język: | Anglais |
| Wydane: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
2006.
|
| Wydanie: | 1st ed. 2006. |
| Seria: | Universitext
|
| Hasła przedmiotowe: | |
| Dostęp online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Komentarz: |
L'impression du document génère 314 p. Description d'après consultation du 20 avril 2011 Titre provenant de la page de titre du document numérisé Numérisation de l'édition de Berlin : Springer, cop. 2006 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Qualitative Theory of Planar Differential Systems, Texte imprimé, 9783540821595 • Qualitative Theory of Planar Differential Systems, Texte imprimé, 9783540328933 |
| LEADER | 04300nam a22004697a 4500 | ||
|---|---|---|---|
| 001 | 938517 | ||
| 008 | 080410s2006 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN123132452 | ||
| 020 | |a 9783540329022 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.352 | ||
| 084 | |a 34Cxx. 2000 | ||
| 084 | |a 37Cxx. 2000 | ||
| 100 | 1 | |a Dumortier, Freddy, |d 1947- | |
| 245 | 1 | 0 | |a Qualitative theory of planar differential systems |c Freddy Dumortier, Jaume Llibre, Joan C. Artés. |
| 250 | |a 1st ed. 2006. | ||
| 256 | |a Données textuelles | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg, |c 2006. | ||
| 490 | 0 | |a Universitext |x 2191-6675 | |
| 500 | |a L'impression du document génère 314 p. | ||
| 500 | |a Description d'après consultation du 20 avril 2011 | ||
| 500 | |a Titre provenant de la page de titre du document numérisé | ||
| 500 | |a Numérisation de l'édition de Berlin : Springer, cop. 2006 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. [285]-293. Index | ||
| 505 | 1 | |a Basic Results on the Qualitative Theory of Differential Equations Normal Forms and Elementary Singularities Desingularization of Nonelementary Singularities Centers and Lyapunov Constants Poincaré and Poincaré Lyapunov Compactification Indices of Planar Singular Points Limit Cycles and Structural Stability Integrability and Algebraic Solutions in Polynomial Vector Fields Polynomial Planar Phase Portraits Examples for Running P4 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The book deals essentially with systems of polynomial autonomous ordinary differential equations in two real variables. The emphasis is mainly qualitative, although attention is also given to more algebraic aspects as a thorough study of the center/focus problem and recent results on integrability. In the last two chapters the performant software tool P4 is introduced: based on both algebraic manipulation and numerical calculation, this was conceived for the purpose of drawing "Polynomial Planar Phase Portraits" on part of the plane, or on a Poincaré compactification, or even on a Poincaré-Lyapunov compactification of the plane. From the start, differential systems are represented by vector fields enabling, in full strength, a dynamical systems approach. All essential notions, including invariant manifolds, normal forms, desingularization of singularities, index theory and limit cycles, are introduced and the main results are proved for smooth systems with the necessary specifications for analytic and polynomial systems. The book is very appropriate for a first course in dynamical systems, presenting the basic notions in the study of individual two dimensional systems. Not only does it provide simple and appropriate proofs, but it also contains a lot of exercises and presents a survey of interesting results with the necessary references to the literature | ||
| 538 | |a Nécessite un lecteur de fichier PDF | ||
| 650 | |a Dynamique différentiable | ||
| 650 | |a Flots (dynamique différentiable) | ||
| 650 | |a Cycles limites | ||
| 776 | 0 | |t Qualitative Theory of Planar Differential Systems |b Texte imprimé |z 9783540821595 | |
| 776 | 0 | |t Qualitative Theory of Planar Differential Systems |b Texte imprimé |z 9783540328933 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-540-32902-2 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |q PDF |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-FDLCN8G7-R |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747898405 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-540-32902-2 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750911387 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-540-32902-2 |z Accès INSA CVL | |
| 997 | |0 938517 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||