for now check Clint Sprott, Dee Dechert, or Buz Brock. kind of in the mix also is this wonderful guy, Cars Hommes
i'm also sometimes known to hang around Sergey Bolotin and Joel Robbin.
For a quick idea of what I am working with; I am worried about the genericity of Hopf bifurcations in large random dynamical systems. I am currently working on an analytical proof, and numeric simulations (using random matrices, and neural networks) of the above topic. I am also concerned with structural stability and robustness in very high dimensonal dynamical systems. For more info, just e-mail me.
Links to a few helpful partial hyperbolicity folks: Keith Burns, Amie Wilkinson, there will be more soon.