Dynamical Systems: Discrete, Continuous and Hybrid
Dynamical Systems
2023-07-11 v1
Abstract
The dynamics by iteration of a function on a compact metric space, sometimes called a cascade, can be extended to the dynamics of a closed relation on such a space. Here we apply this relation dynamics to study semiflows (and their relation extension) as well as hybrid dynamical systems which combine both continuous time and discrete time dynamics. In a unified way we describe the attractor-repeller structure, Conley's chain recurrence relation and the construction of Lyapunov functions for all of these systems.
Cite
@article{arxiv.2307.03815,
title = {Dynamical Systems: Discrete, Continuous and Hybrid},
author = {Ethan Akin},
journal= {arXiv preprint arXiv:2307.03815},
year = {2023}
}