For those interested in pursuing a PhD in nonlinear dynamics or mathematical physics, several US universities are noted for their strong programs in these areas. Cornell University is recognized for its focus on dynamics and chaos. Other institutions mentioned include SUNY Stony Brook, which has a notable history with mathematician John Milnor, Rutgers University, Boston University with Devaney's contributions, and prestigious schools like Caltech, Princeton, MIT, Columbia, and NYU. The discussion highlights that the classification of chaos may align more with applied mathematics and physics, while dynamical systems could be more relevant to topology and pure mathematics. The importance of aligning one's research interests with the right department is emphasized, suggesting that prospective students should consider what they specifically want to study within these fields.
