Lyapunov spectrum of homoclinic classes
Dynamical Systems
2026-04-29 v1
Abstract
We study the Lyapunov spectrum of the ergodic measures of isolated homoclinic classes of -generic diffeomorphisms. We show that this spectrum has nonempty interior and that any vector in its interior is the spectrum of some ergodic measure fully supported on the homoclinic class. We also discuss the averaged Lyapunov spectrum of homoclinic classes (an extension of the Lyapunov graph).
Cite
@article{arxiv.2604.25063,
title = {Lyapunov spectrum of homoclinic classes},
author = {Lorenzo J. Díaz and Katrin Gelfert and Xiaodong Wang and Jiagang Yang},
journal= {arXiv preprint arXiv:2604.25063},
year = {2026}
}
Comments
33 pages, 0 figures