Analysis of synchronized coupled oscillators with application to radar beam scanning

The stability and nonlinear behavior of synchronized coupled oscillators are studied via nonlinear control theory and applied to radar beam scanning arrays. The analysis indicates that only one stable equilibrium point exists when choosing a specific set of free running frequencies, and it is associated with the desired phase shift, but within a given range of values. Simulation results show that radar beam scanning arrays of oscillators with strong coupling have better angular resolution than arrays with weak coupling, and these arrays are more robust under the influence of randomness of the free running frequency.