Rodrigues A. One-Dimensional Dynamical Systems...Approach 2021

Textbook in PDF format

For almost every phenomenon in physics, chemistry, biology, medicine, economics, and other sciences, one can make a mathematical model that can be regarded as a dynamical system.
One-Dimensional Dynamical Systems: An Example-Led Approach
seeks to deep-dive into α standard maps as an example-driven way of explaining the modern theory of the subject in a way that will be engaging for students.
Features
Example-driven approach
Suitable as supplementary reading for a graduate or advanced undergraduate course in dynamical systems