Abstract
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.
Original language | English |
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Pages (from-to) | 535-546 |
Number of pages | 12 |
Journal | Chinese Journal of Physics |
Volume | 37 |
Issue number | 6 |
Publication status | Published - 1999 |
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy