Dynamics in One Dimension
The behaviour under iteration of unimodal maps of an interval, such as the logistic map, has recently attracted considerable attention. It is not so widely known that a substantial theory has by now been built up for arbitrary continuous maps of an interval. The purpose of the book is to give a clea...
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| Hauptverfasser: | , |
|---|---|
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Schriftenreihe: | Lecture notes in mathematics
1513 |
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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| Edition sous un autre format: | • Dynamics in one dimension, L.S. Block, W.A. Coppel, Berlin, Springer-Verlag, 1992, 1 vol. (VIII-247 p.), Lecture notes in mathematics, 0-387-55309-6 • Dynamics in One Dimension, Texte imprimé, 9783662205969 |
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| 100 | 1 | |a Block, Louis Stuart, |d 1947- | |
| 245 | 1 | 0 | |a Dynamics in One Dimension |c Louis Stuart Block, William Andrew Coppel. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1513 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Periodic orbits -- Turbulence -- Unstable manifolds and homoclinic points -- Topological dynamics -- Topological dynamics (continued) -- Chaotic and non-chaotic maps -- Types of periodic orbits -- Topological Entropy -- Maps of the circle. | |
| 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 behaviour under iteration of unimodal maps of an interval, such as the logistic map, has recently attracted considerable attention. It is not so widely known that a substantial theory has by now been built up for arbitrary continuous maps of an interval. The purpose of the book is to give a clear account of this subject, with complete proofs of many strong, general properties. In a number of cases these have previously been difficult of access. The analogous theory for maps of a circle is also surveyed. Although most of the results were unknown thirty years ago, the book will be intelligible to anyone who has mastered a first course in real analysis. Thus the book will be of use not only to students and researchers, but will also provide mathematicians generally with an understanding of how simple systems can exhibit chaotic behaviour. | ||
| 650 | |a Dynamique topologique | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Itération (mathématiques) | ||
| 700 | 1 | |a Coppel, William Andrew. |4 aut | |
| 776 | 0 | |0 022957820 |t Dynamics in one dimension |f L.S. Block, W.A. Coppel |c Berlin |n Springer-Verlag |d 1992 |p 1 vol. (VIII-247 p.) |s Lecture notes in mathematics |z 0-387-55309-6 | |
| 776 | 0 | |t Dynamics in One Dimension |b Texte imprimé |z 9783662205969 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0084762 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-15DMG9F8-Q |z Accès sur la plateforme Istex | |
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