Ratio of the rotation period to the cycle period as a function of Coriolis number (panel a). The two black lines indicate the fit to the axisymmetric and rapid rotation runs, respectively. The vertical lines denote the nonaxisymmetric transition found in our simulations (dotted; Co ≥ 3) and from the observational study of Lehtinen et al. (2016) (dashed), respectively. Runs are plotted after their labels. The color indicates the mode chosen for calculating τ_cyc: blue for m =0, red for m = 1. P_rot ∕P_cyc as function of activity, represented by E_mag∕E_kin is shown in panel b. Panel c: comparison between the results presented in this paper, Lehtinen et al. (2016), and Strugarek et al. (2017). Black circles and triangles denote high resolution and π∕2 wedges in our set, respectively. The gray dots indicate M dwarfs and F and G stars from Brandenburg et al. (2017).