  The control of network-coupled nonlinear dynamical systems is an active area
of research in the nonlinear science community. Coupled oscillator networks
represent a particularly important family of nonlinear systems, with
applications ranging from the power grid to cardiac excitation. Here we study
the control of network-coupled limit cycle oscillators, extending previous work
that focused on phase oscillators. Based on stabilizing a target fixed point,
our method aims to attain complete frequency synchronization, i.e., consensus,
by applying control to as few oscillators as possible. We develop two types of
control. The first type directs oscillators towards to larger amplitudes, while
the second does not. We present numerical examples of both control types and
comment on the potential failures of the method.
