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- W2112145755 abstract "We analytically derive the correlation functions of the stochastic response of period-p orbits in a generic one-dimensional map system under the influence of weak external, additive white noise. Two approaches, a recurrence scheme and a path integral method, are provided. Beside the supercycle, we recognise that the fluctuations on each elements of the period-p orbits are colored noise which have non-vanishing time correlation. The results also indicate that the stochastic responses will be stationary after a large number of period-p iterations. The analytical results are confirmed by numerical simulations." @default.
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- W2112145755 date "1997-12-23" @default.
- W2112145755 modified "2023-09-25" @default.
- W2112145755 title "Stochastic Responses of the Stable Period-p Orbits in One-Dimensional Noisy Map Systems" @default.
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