  Combinations of gyroscopic forces and nonequilibrium activity has been
explored recently in rectifying energy in networks with complex geometries and
topologies [Phys. Rev. X 10, 021036]. Based on this previous work, here we
study the effect of added time-periodic modulations. Numerical calculations
show that the time-modulated network generates net energy transport between
sites and the surroundings, even in the absence of any temperature gradients.
Combining path integral formulation and diagrammatic expansion, we explain how
such anomalous energy transport emerges, and show how the transport pattern in
complex networks can be connected to relatively simple local structures.
