A feedforward network is a unidirectionally coupled chain of dynamical systems in which the first cell may be coupled to itself, and each successive cell is coupled to the next one. Feedforward networks of nonlinear oscillators can lead, in principle, to a novel beamforming system, in which the collective dynamics of the network can produce, simultaneously, signal amplification and beam steering capabilities through phase-locking solutions. These two features can find applications in future design and fabrication of modern antenna and radar systems. Conventional and modern methods for beam steering in antennas and radar systems have one goal in common: to manipulate the phase shift between oscillating components, so that the direction of a radiating intensity pattern can be controlled. Typical components include arrays of nonlinear oscillators connected in a chain configuration. Modern methods for beam steering take advantage of the inherent non-linearities of the individual components and of the collective dynamics of the array of oscillators to successfully manipulate phase shift. None of those methods includes, however, signal amplification. In this thesis, a novel array configuration is introduced: a feedforward network, which allows, simultaneously, for beam steering and signal amplification capabilities. We investigate the response of the feedforward network of oscillators, and the beamforming pattern, to an incoming signal. This study shows, in particular, that synchronization with an incoming signal can yield a beamforming pattern with a narrow mainlobe and lower sidelobes. These are desirable features as they can lead to improved resolution and less susceptibility to interference by strenuous signals.