Stochastic responses of the stable period-p orbits in one-dimensional noisy map systems

Tian Nan Wang, Rue Ron Hsu, Han Tzong Su, Wei Fu Lin, Jyh Long Chern, Chia Chu Chen

研究成果: Article同行評審

1 引文 斯高帕斯(Scopus)

摘要

We derive the correlation functions for 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 an integral method, are provided. Besides the supercycle, we recognise that the fluctuations in the elements of the period-p orbits are colored noise, which have a non-vanishing time correlation. The results also indicate that the stochastic responses will be stationary after a large number of period-p iterations. These analytical results are confirmed by numerical simulations.

原文English
頁(從 - 到)535-546
頁數12
期刊Chinese Journal of Physics
37
發行號6
出版狀態Published - 1999

All Science Journal Classification (ASJC) codes

  • 物理與天文學 (全部)

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