Previous experimental studies have provided evidence that transient large-scale synchronization of neuronal oscillations plays an important role in switching brain states associated with human brain functions. In our previous study, we investigated the behavior of switching between synchronized and desynchronized states induced by inhibitory interactions between groups of neurons, and proposed a continuous model for a loop-finding system, where a closed loop is defined as a phase synchronization of a group of oscillators belonging to corresponding nodes (K-I Ueda, Phys Rev E 87:052920, 2013). In this study, we modify the previous models to improve the loop-finding time. It is demonstrated that bidirectional flows of phase synchronized waves and interaction between them can improve the loop-finding time.