Stability of the quasi-periodic and periodic attractors constrained to the hyper-plane in a ring of three-coupled hard-type oscillators

In this paper, we investigate quasi-periodic and periodic attractors constrained on the invariant subspace H in a ring of three coupled oscillators. In H two of three oscillators are synchronized. We elucidate the stability of the solution in H by calculating average largest transversal Lyapunov exponent, and find the stable region of periodic and quasi-periodic attractors. We also demonstrate intermittency for parameters in which average largest transversal Lyapunov exponent takes a small positive value.