Subject of the paper is the system of three coupled van der Pol oscillators
where the indices are considered modulo 3. Due to the symmetric coupling structure, this system is equivariant with respect to the group action. Using symmetric bifurcations theory, the authors investigate the Hopf bifurcations of the equilibrium . As a result of these bifurcations, the following periodic rotating waves appear: mirror-reflecting waves, standing waves, and discrete waves. The paper discusses the appearance and stability of these waves.