| Titre : | Bifurcations and catastrophes geometry of solutions to nonlinear problems |
| Auteurs : | Michel Demazure ; David Chillingworth |
| Type de document : | texte imprimé |
| Editeur : | Berlin : Springer-Verlag, 2000 |
| Collection : | Universitext |
| ISBN/ISSN/EAN : | 978-3-540-52118-1 |
| Format : | 1 Vol. (VIII-301 p.) / ill., couv. ill. / 24 cm |
| Langues originales: | |
| Index. décimale : | 515 (Analyse (mathématique)) |
| Catégories : | |
| Mots-clés: | Bifurcation theory Catastrophes (Mathematics) Differentiable manifolds |
| Résumé : |
Based on a lecture course at the Ecole Polytechnique (Paris), this text gives a rigorous introduction to many of the key ideas in nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coordinate-free approach which allows a clear focus on the essential mathematical structures. Taking a unified view, it brings out features common to different branches of the subject while giving ample references for more advanced or technical developments. |
| Note de contenu : |
Sommaire • Local Inversion. • Submanifolds. • Transversality Theorems. • Classification of Differentiable Functions. • Catastrophe Theory. • Vector Fields. • Linear Vector Fields. • Singular Points of Vector Fields. • Closed Orbits - Structural Stability • Bifurcations of Phase Portraits. |
| Côte titre : |
S8/59639 |
Exemplaires (1)
| Cote | Support | Localisation | Disponibilité |
|---|---|---|---|
| S8/59639 | Livre | Bibliothèque centrale | Disponible |
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