Non-hyperbolic ergodic measures for non-hyperbolic homoclinic classes
Dynamical Systems
2008-04-14 v1
Abstract
We prove that for a generic -diffeomorphism existence of a homoclinic class with periodic saddles of different indices (dimension of the unstable bundle) implies existence an invariant ergodic non-hyperbolic (one of the Lyapunov exponents is equal to zero) measure of .
Cite
@article{arxiv.0804.1796,
title = {Non-hyperbolic ergodic measures for non-hyperbolic homoclinic classes},
author = {Lorenzo J. Diaz and Anton Gorodetski},
journal= {arXiv preprint arXiv:0804.1796},
year = {2008}
}
Comments
50 pages