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- W2016369301 abstract "In our recent paper [Phys. Rev. E 58, 1789 (1998)] we found notable deviations from a power-law decay for the ``magnetization'' of a system of coupled phase oscillators with random interactions claimed by Daido in Phys. Rev. Lett. 68, 1072 (1992). For another long-time property, the Lyaponov exponent, we found that his numerical procedure showed strong time discretization effects and we suspected a similar effect for the algebraic decay. In the Comment to our paper [preceding paper, Phys. Rev. E 61, 2145 (2000)] Daido made clear that the power law behavior was only claimed for the sample averaged magnetization [Z] and he presented new, more accurate numerical results which provide evidence for a power-law decay of this quantity. Our results, however, were obtained for Z itself and not for $[Z].$ In addition, we have taken the intrinsic oscillator frequencies as Gaussian random variables, while Daido in his new and apparently also in his earlier simulations used a deterministic approximation to the Gaussian distribution. Due to the differences in the observed quantity and the model assumptions our and Daido's results may be compatible." @default.
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- W2016369301 title "Self-averaging of an order parameter in randomly coupled limit-cycle oscillators" @default.
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- W2016369301 doi "https://doi.org/10.1103/physreve.61.2148" @default.
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