  There is a class of single trace operators in ${\cal N}=4$ Yang-Mills theory
which are related by the AdS/CFT correspondence to classical string solutions.
Interesting examples of such solutions corresponding to periodic trajectories
of the Neumann system were studied recently. In our paper we study a
generalization of these solutions. We consider strings moving with large
velocities. We show that the worldsheet of the fast moving string can be
considered as a perturbation of the degenerate worldsheet, with the small
parameter being the relativistic factor $\sqrt{1-v^2}$. The series expansion in
this relativistic factor should correspond to the perturbative expansion in the
dual Yang-Mills theory. The operators minimizing the anomalous dimension in the
sector with given charges correspond to periodic trajectories in the mechanical
system which is closely related to the product of two Neumann systems.
