ISBN : 9780198743279
This text is a mathematics-based, undergraduate text in the modern theory of dynamical systems geared for both mathematics majors intent on eventual research in the field as well as engineers and physical scientists wanting a mathematical theory-based introductory approach to both the practical and abstract notions of a mathematical model.
1 What is a Dynamical System?
2 Simple Dynamics
3 The Objects of Dynamics
4 Flows and Maps of Euclidean Space
5 Recurrence
6 Phase Volume Preservation
7 Complicated Orbit Structure
8 Dynamical Invariants