Abstract
We examine effects of the generation method of scale-free networks with a small clustering coefficient and their power-law exponents on the synchronization of coupled oscillator networks. A modified Kuramoto model is introduced as a model of coupled oscillator networks. Networks employed for examinations are generated by a preferential attachment and configuration model. Under these conditions, the relationship between the coherence R and the power-law exponent γT is investigated by numerical computation. In addition, the relationship between the R and the coupling strength σ is also investigated. As a result, it is found that (1) the global phase synchronization occurs in the large number σ independent of network generation methods and γT, (2) R gradually decreases as γT increases under the global phase synchronization, (3) the coherence R depends on network topologies in the range of 2 < σ < 7, where γT, which strongly affects the coherence too, increases as σ increases, and (4) the relaxation time of coherence depends on network topologies as well as R in the range 2 < σ < 7.
