Star flows: a characterization via Lyapunov functions
arXiv:1704.01987 · doi:10.1007/s00574-024-00403-w
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.
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