Iterated Maps on the Interval as Dynamical Systems

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. Language: English