I enjoy the overall fashion in which he presents the topics — clear, motivating example to start with, building on relevant details etc. His textbooks read like a good popsci book, yet they are of course much more detailed.
I’m not sure how suitable his e.g. « Nonlinear dynamics and chaos » are for math students, since it feels a bit informal, but for developing intuition, interest and the scope of the subject, I haven’t seen anything better.
Yes, « Nonlinear dynamics and chaos » is my favorite, I think it’s his best book. It has tons of nice examples and gets you a crash course over multiple concepts. « Sync » is nice too, but not a textbook definitely ( I don’t recall if it even had a single equation in it).