There are already a number of requests for textbooks detailing nonlinear stability theory, chaos theory etc. but many of them are more introductory (e.g. Strogatz - Nonlinear Dynamics and Chaos)
I've covered all this material before but I'm prone to forgetting the details. I hoped somebody might be able to point me in the direction of a more formal reference text on this subject. Perhaps a graduate level text, that covers major undergraduate material in a fairly mathematically rigorous way, as well as a little extra?