Iterated maps on the interval as dynamical systems
Iterations of continuous maps of an interval to itself serve as the simplest examples of models for dynamical systems. These models present an interesting mathematical structure going far beyond the simple equilibrium solutions one might expect. If, in addition, the dynamical system depends on an ex...
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| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Boston :
Birkhäuser Boston : Springer e-books
[20..].
Cham : Springer Nature |
| Serija: | Modern Birkhäuser Classics
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| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Description d'après consultation du 06 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Iterated maps on the interval as dynamical systems, Pierre Collet, Reprint of the 1980 ed., 2009, Boston, Mass., Birkhäuser, 1 vol. (247 p.), Progress in physics, 978-0-8176-4926-5 |
Kazalo:
- Motivation and Interpretation
- One-Parameter Families of Maps
- Typical Behavior for One Map
- Parameter Dependence
- Systematics of the Stable Periods
- On the Relative Frequency of Periodic and Aperiodic Behavior
- Scaling and Related Predictions
- Higher Dimensional Systems
- Properties of Individual Maps
- Unimodal Maps and Thier Itineraries
- The Calculus of Itineraries
- Itineraries and Orbits
- Negative Schwarzian Derivative
- Homtervals
- Topological Conjugacy
- Sensitive Dependence on Initial Conditions
- Ergodic Properties
- Properties of one-Parameter families of maps
- One-Parameter Families of Maps
- Abundance of Aperiodic Behavior
- Universal Scaling
- Multidimensional Maps