Year: 2024
Type: preprint
Abstract: We study the behaviour of discrete dynamical systems generated by a continuous map $f$ of a compact real interval into itself where at randomly chosen times a function different from $f$ - 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.
Source: arXiv (Cornell University)
Authors: Kováč, J., Veselý, J., Janková, K.
Institution: Comenius University Bratislava
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4404306945