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- W2915943908 abstract "Abstract We study a variant of the Kuramoto model in a two-dimensional grid, in which the coupling strength is governed by gravitation rules. Here the magnitude of gravitation is directly proportional to the product of natural frequencies of the two oscillators, but inversely proportional to the α th power of their distance. The numerical simulations indicate that for a large enough coupling strength, phase locking of oscillators is possible and it is more likely to occur in networks with small decay exponent α and large oscillator density ρ . When the value of α equals the dimensions of the system, the Bellerophon state appears, in which the oscillators form several different subgroups by recruiting their own peers. In each subgroup, the instantaneous frequencies of oscillators are different from each other, but they do correlate with each other in some form, so that their effective frequencies tend to be consistent. This result drops a hint that the Bellerophon state might be universal in improved Kuramoto models as long as the intrinsic properties of the oscillators are not exactly the same." @default.
- W2915943908 created "2019-03-02" @default.
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- W2915943908 date "2019-04-01" @default.
- W2915943908 modified "2023-10-17" @default.
- W2915943908 title "Bellerophon state in the Kuramoto model with gravitation rules" @default.
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- W2915943908 doi "https://doi.org/10.1016/j.physd.2019.02.004" @default.
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