Ordinary differential equations and dynamical systems
This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students. Students should have a solid background in analysis and linear algebra. The presentation emphasizes commonly used techniques with...
Αποθηκεύτηκε σε:
| Κύριος συγγραφέας: | |
|---|---|
| Μορφή: | Livre numérique |
| Γλώσσα: | Anglais |
| Έκδοση: |
Paris :
Atlantis Press
2013.
Cham : Springer Nature |
| Σειρά: | Atlantis Studies in Differential Equations
2 |
| Θέματα: | |
| Διαθέσιμο Online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Σημείωση: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Ordinary differential equations and dynamical systems, Thomas C. Sideris, 2013, Paris, Atlantis Press, 1 vol. (XI-225 p.), Atlantis studies in differential equations, 978-94-6239-020-1 • Ordinary Differential Equations and Dynamical Systems, Texte imprimé, 9789462390225 |
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| 100 | 1 | |a Sideris, Thomas C. | |
| 245 | 1 | 0 | |a Ordinary differential equations and dynamical systems |c Thomas C. Sideris. |
| 260 | |a Paris : |b Atlantis Press. | ||
| 260 | |a Cham : |b Springer Nature, |c 2013. | ||
| 490 | 0 | |a Atlantis Studies in Differential Equations |v 2 |x 2214-6261 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Introduction -- Linear Systems -- Existence Theory -- Nonautomous Linear Systems -- Results from Functional Analysis -- Dependence on Initial Conditions and Parameters -- Linearization and Invariant Manifolds -- Periodic Solutions -- Center Manifolds and Bifurcation Theory -- The Birkhoff Smale Homoclinic Theorem -- Appendix: Results from Real Analysis. | |
| 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 This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students. Students should have a solid background in analysis and linear algebra. The presentation emphasizes commonly used techniques without necessarily striving for completeness or for the treatment of a large number of topics. The first half of the book is devoted to the development of the basic theory: linear systems, existence and uniqueness of solutions to the initial value problem, flows, stability, and smooth dependence of solutions upon initial conditions and parameters. Much of this theory also serves as the paradigm for evolutionary partial differential equations. The second half of the book is devoted to geometric theory: topological conjugacy, invariant manifolds, existence and stability of periodic solutions, bifurcations, normal forms, and the existence of transverse homoclinic points and their link to chaotic dynamics. A common thread throughout the second part is the use of the implicit function theorem in Banach space. Chapter 5, devoted to this topic, the serves as the bridge between the two halves of the book | ||
| 650 | |a Équations différentielles | ||
| 776 | 0 | |0 204790026 |t Ordinary differential equations and dynamical systems |f Thomas C. Sideris |d 2013 |c Paris |n Atlantis Press |p 1 vol. (XI-225 p.) |s Atlantis studies in differential equations |z 978-94-6239-020-1 | |
| 776 | 0 | |t Ordinary Differential Equations and Dynamical Systems |b Texte imprimé |z 9789462390225 | |
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