Analysis of coupled oscillators by state variable method

One of the most important applications of coupled oscillators is phase controlling in microwave antenna arrays and that is why an intense research activity is focused to obtain a particular phase shift of the oscillators in the array. To this end the analysis in transient behavior have to be made, for which we propose the state variable approach. The nonlinear state equations are integrated by using the ode45 routine from Matlab. Two illustrative examples are given.