Fig. 1

Topology structure of 2-layered network composed of random networks"

Fig. 2

Synchronous phase transition diagram of order parameter variation with coupling strength under different inter-layer interaction strength"

Fig. 3

Comparison of theoretical results and numerical simulations that critical coupling strength variation with inter-layer interaction strength"

Table 1

Deviation between the theoretical value and the experimental value of the critical coupling strength $\lambda _{\rm c} $ under the influence of inter-layer interaction strength"

Fig. 4

Synchronous phase transition diagram that effective frequency variation with coupling strength of backward phase transition in different average degree of networks"

Fig. 5

Comparison of theoretical results and numerical simulations that critical coupling strength variation with average degree of networks"

Table 2

Deviation between the theoretical value and the experimental value of the critical coupling strength $\lambda _{\rm c} $ under the different average degree of networks"

Fig. 6

Comparison of theoretical results and numerical simulations that critical coupling strength variation with number of network layers"