C-parameter (the gradient of the contours in Fig. 5) with respect to initial disk accretion rates Ṁ_init. The solid lines represent C_P and the dashed lines C_j values, respectively. Each subplot shows variations in (a) viscous α parameter: 0.01 (blue lines) and 0.005 (black lines). The stellar mass is 0.3 M_⊙ with a magnetic dipole field strength of B_⋆ = 1 kG. (b) W values: 2% (blue lines) and 5% (black lines). The stellar mass is 0.3 M_⊙ with a magnetic dipole field strength of B_⋆ = 1 kG and a viscosity parameter of α = 0.01. (c) B_⋆ values: 1.0 kG (blue lines) and 0.5 kG (black lines). The stellar mass is 0.3 M_⊙ with a viscosity parameter of α = 0.01. (d) M_⋆ values: 0.3 M_⊙ (blue lines) and 0.6 M_⊙ (black lines). The viscosity parameter is α = 0.01. The threshold of C = 0.01 for the star to be in the “locked”-state is indicated by the horizontal dotted line. For better visualization, the highlighted parameters show the reference value in the other subplots.