Approximating invariant densities of metastable systems
Dynamical Systems
2013-02-05 v1
Abstract
We consider a piecewise smooth expanding map of the interval possessing two invariant subsets of positive Lebesgue measure and exactly two ergodic absolutely continuous invariant probability measures (ACIMs). When this system is perturbed slightly to make the invariant sets merge, we describe how the unique ACIM of the perturbed map can be approximated by a convex combination of the two initial ergodic ACIMs.
Cite
@article{arxiv.0905.0223,
title = {Approximating invariant densities of metastable systems},
author = {Cecilia González Tokman and Brian R. Hunt and Paul Wright},
journal= {arXiv preprint arXiv:0905.0223},
year = {2013}
}
Comments
19 pages, 6 figures