Iterated Maps on the Interval as Dynamical Systems
Iterated Maps on the Interval as Dynamical Systems is a classic reference used widely by researchers and graduate students in mathematics and physics, opening up some new perspectives on the study of dynamical systems . This book is a thorough and readable introduction to some aspects of the theory...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser
2009, 2009
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| Edition: | 1st ed. 2009 |
| Series: | Modern Birkhäuser Classics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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