Iterated Maps on the Interval as Dynamical Systems

• Κύριοι συγγραφείς: Collet, Pierre (Συγγραφέας), Eckmann, Jean-Pierre (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston : Birkhäuser Boston, 2009.
• Σειρά: Modern Birkhäuser Classics
• Θέματα: Science.; Science, general.

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...

Πίνακας περιεχομένων:

• 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.