頁籤選單縮合
題 名 | Stochastic Responses of the Stable Period-p Orbits in One-Dimensional Noisy Map Systems |
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作 者 | Wang, Tian-nan; Hsu, Rue-ron; Su, Han-tzong; Lin, Wei-fu; Chern, Jyh-long; Chen, Chia-chu; | 書刊名 | Chinese Journal of Physics |
卷 期 | 37:6 1999.12[民88.12] |
頁 次 | 頁535-546 |
分類號 | 332.3 |
關鍵詞 | |
語 文 | 英文(English) |
英文摘要 | 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. |
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