An advanced introduction to nonlinear dynamics, with emphasis on methods used to analyze chaotic dynamical systems encountered in science and engineering. The course is in part an advanced seminar in nonlinear dynamics, aimed at PhD students, postdoctoral fellows and advanced undergraduates in physics, mathematics, chemistry and engineering.
The entire course is online (https://www.chaosbk.physics.gatech.edu/course1/about.html), so check it now out to see whether it is the right level for you.