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.
|頁（從 - 到）||535-546|
|期刊||Chinese Journal of Physics|
|出版狀態||Published - 1999|
All Science Journal Classification (ASJC) codes
- 物理與天文學 (全部)