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原文連結
論文資訊
- 類型：已發表論文
- 日期：2014-02-01
摘要
We explain how specific dynamical properties give rise to the limit distribution of sums of deterministic variables at the transition to 混沌 via the period-doubling route. We study the sums of successive positions generated by an ensemble of initial conditions uniformly distributed in the entire phase space of a unimodal map as represented by the logistic map. We find that these sums acquire their salient, multiscale, features from the repellor preimage structure that dominates the dynamics toward the 吸引子s along the period-doubling cascade. And we explain how these properties transmit from the sums to their distribution. Specifically, we show how the stationary distribution of sums of positions at the Feigebaum point is built up from those associated with the supercycle 吸引子s forming a hiera
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