科研之友
微信
新浪微博
Facebook
分享链接
摘要
We present a general setting in which the formula describing the linear response of the physical measure of a perturbed system can be obtained. In this general setting we obtain an algorithm to rigorously compute the linear response. We apply our results to expanding circle maps. In particular, we present examples where we compute, up to a pre-specified error in the L-infinity-norm, the response of expanding circle maps under stochastic and deterministic perturbations. Moreover, we present an example where we compute, up to a pre-specified error in the L-1-norm, the response of the intermittent family at the boundary; i.e. when the unperturbed system is the doubling map.
- 出版日期2018-3
