Discrete Dynamical Systems with Random Impulses
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916450867871744 |
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| author | Kováč, J. Veselý, J. Janková, K. |
| author_facet | Kováč, J. Veselý, J. Janková, K. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_18512 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Discrete Dynamical Systems with Random Impulses Kováč, J. Veselý, J. Janková, K. Dynamical Systems 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. |
| title | Discrete Dynamical Systems with Random Impulses |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2410.18512 |