Star flows: a characterization via Lyapunov functions
Dynamical Systems
2024-06-11 v7
Abstract
In this work, it is presented a characterization of star property for a vector field based on Lyapunov functions. It is also obtained conditions to strong homogeneity for singular sets by using the notion of infinitesimal Lyapunov functions. As an application, we obtain some results related to singular hyperbolic sets for flows.
Keywords
Cite
@article{arxiv.1704.01987,
title = {Star flows: a characterization via Lyapunov functions},
author = {Luciana Silva Salgado},
journal= {arXiv preprint arXiv:1704.01987},
year = {2024}
}
Comments
24 pages, 2 figures. Final text published in Bulletin of the Brazilian Mathematical Society. arXiv admin note: text overlap with arXiv:1611.04072, arXiv:1201.2550