Canonic coupling of sinusoidal oscillators

The problem of coupling between oscillators is usually tackled by employing the Van der Pol equation for representing the oscillators and solving the equations approximately. The present communication suggests another well-known oscillator and simple coupling factors for modeling the system. As a result, the system equations become directly integrable without approximations. The problem of the coupling of two oscillators is solved comprehensively and several regions of distinct dynamic behavior of the system and bifurcation points are identified.