Is there a research field which holds close connections between computational neuroscience and classical robotics
Yes, it's often called Neurorobotics. There are several labs doing this kind of research. Here's a small sample:


Jeff Krichmar at UC Irvine.
The Neurorobotics Research Laboratory at Humboldt Unveristy
The Neurorobotics Lab at Drexel University
Jun Tani at the Korea Advanced Institute of Science and Technology
NxR at Northwestern