SRB measures for diffeomorphisms with continuous invariant splittings
Dynamical Systems
2015-08-13 v1
Abstract
We study the existence of SRB measures of C 2 diffeomorphisms for attractors whose bundles admit Holder continuous invariant (non-dominated) splittings. We prove the existence when one subbundle has the non-uniform expanding property on a set with positive Lebesgue measure and the other subbundle admits non-positive Lyapunov exponents on a total probability set.
Cite
@article{arxiv.1508.02747,
title = {SRB measures for diffeomorphisms with continuous invariant splittings},
author = {Zeya Mi and Yongluo Cao and Dawei Yang},
journal= {arXiv preprint arXiv:1508.02747},
year = {2015}
}
Comments
31 pages