Bifurcations of Planar Vector Fields : Nilpotent Singularities and Abelian Integrals
The book reports on recent work by the authors on the bifurcation structure of singular points of planar vector fields whose linear parts are nilpotent. The bifurcation diagrams of the most important codimension-three cases are studied in detail. The results presented reach the limits of what is cur...
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Schriftenreihe: | Lecture notes in mathematics
1480 |
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Autre contributeur : H. Zoladek (auteur) Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Bifurcations of planar vector fields, nilpotent singularities and Abelian integrals, F. Dumortier, R. Roussarie, J. Sotomayor, [et al.], 1991, Berlin, Springer-Verlag, 1 volume (viii-226 pages), Lecture notes in mathematics, 0-387-54521-2 • Bifurcations of Planar Vector Fields, Texte imprimé, 9783662191552 |
| LEADER | 03731nam a22004697a 4500 | ||
|---|---|---|---|
| 001 | 970169 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155185780 | ||
| 020 | |a 9783540384335 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 084 | |a 58F14. 1991 | ||
| 084 | |a 34C05. 1991 | ||
| 084 | |a 34D30. 1991 | ||
| 100 | 1 | |a Dumortier, Freddy, |d 1947- | |
| 245 | 1 | 0 | |a Bifurcations of Planar Vector Fields : |b Nilpotent Singularities and Abelian Integrals |c Freddy Dumortier, Robert Roussarie, Jorge Sotomayor, [et al.]. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1480 |x 1617-9692 | |
| 500 | |a Autre contributeur : H. Zoladek (auteur) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Definitions and notations -- Transformation into normal form -- Bifurcations of codimension 1 and 2 -- Elementary properties -- The central rescaling -- Conclusions and discussion of remaining problems -- Abelian integrals in unfoldings of codimension 3 singular planar vector fields. | |
| 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. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The book reports on recent work by the authors on the bifurcation structure of singular points of planar vector fields whose linear parts are nilpotent. The bifurcation diagrams of the most important codimension-three cases are studied in detail. The results presented reach the limits of what is currently known on the bifurcation theory of planar vector fields. While the treatment is geometric, special analytical tools using abelian integrals are needed, and are explicitly developed. The rescaling and normalization methods are improved for application here. The reader is assumed to be familiar with the elements of Bifurcation and Dynamical Systems Theory. The book is addressed to researchers and graduate students working in Ordinary Differential Equations and Dynamical Systems, as well as anyone modelling complex multiparametric phenomena. | ||
| 650 | |a Stabilité | ||
| 650 | |a Théorie de la bifurcation | ||
| 650 | |a Équations différentielles |x Solutions numériques | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Champs vectoriels | ||
| 700 | 1 | |a Sotomayor, Jorge, |d 1942- |4 aut | |
| 700 | 1 | |a Żoł©adek, Henryk, |d 1953- |4 aut | |
| 700 | 1 | |a Roussarie, Robert H., |d 1944-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 003616258 |t Bifurcations of planar vector fields |o nilpotent singularities and Abelian integrals |f F. Dumortier, R. Roussarie, J. Sotomayor, [et al.] |d 1991 |c Berlin |n Springer-Verlag |p 1 volume (viii-226 pages) |s Lecture notes in mathematics |z 0-387-54521-2 | |
| 776 | 0 | |t Bifurcations of Planar Vector Fields |b Texte imprimé |z 9783662191552 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0098353 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-SRXCXPZB-1 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750666129 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0098353 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754015262 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0098353 |z Accès INSA CVL | |
| 997 | |0 970169 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||