Phase diagram for possible dynamic states. The parameter plane indicates the motor kick step size l and the motor susceptibility s. The model cytoskeleton used to obtain α and is characterized by cross-link density ρ = 0.8, relaxed length of the filaments Le = 1.2, and stretching stiffness βγ = 5. From A to C, the network connectivity varies with Pc = 0.2, 0.5, and 1, respectively. D0 = 0.1 and κ = 20. In the flowing regime, there are stable nontrivial (α, ) solutions and positive rk; in the diffusive/relaxational regime, although there are stable nontrivial (α, ) solutions, there is a small negative rk; in the fluidized regime, finite (α, ) solutions are unstable. As network connectivity rises, the flowing phase region expands, whereas the fluidized state region shrinks. The logarithm of the normalized growth rate rk/k2 for flowing instability is color-coded, showing the increase of instability with l and s.