Natural periods, depending on the degree of cross-reaction σ, calculated from eigenvalues of the unforced, linearized deterministic system. Solid lines correspond to solutions with an in-phase pattern; dashed lines to solutions with an out-of-phase pattern. Three values of β are shown: β = 170 (pale gray), β = 120 (black), and β = 70 (dark gray). Other parameter values are γ = 52 and μ = 1/60.