Discrete Dynamical Systems with Random Impulses
Dynamical Systems
2024-10-25 v1
Abstract
We study the behaviour of discrete dynamical systems generated by a continuous map of a compact real interval into itself where at randomly chosen times a function different from - so called impulse function is applied. We show that both the splittting property and the average contraction property guarantee the stability of the system. We give a number of examples where the verification of these properties is simple.
Cite
@article{arxiv.2410.18512,
title = {Discrete Dynamical Systems with Random Impulses},
author = {J. Kováč and J. Veselý and K. Janková},
journal= {arXiv preprint arXiv:2410.18512},
year = {2024}
}