The carefully dissected proofs of the pivotal Poincare-Bendixson, Stable Manifold, and Cascade Theorems are unusual, and welcome, in an introductory book, as are the details about the important topic of state reconstruction from data.
Extensive use is made of itineraries and transition graphs.
There are computer experiments throughout for exploration of concepts through simulation. Appendixes review relevant topics in linear algebra and discuss ordinary differential equation solvers along with codes. The exposition is clear, solid, and well illustrated. Very highly recommended. Upper-division undergraduates and graduate students.