On Dynamics of $\ell$- Volterra Quadratic Stochastic Operators
| dc.creator | Rozikov, U. A. | |
| dc.creator | Zada, A. | |
| dc.date | 2007-12-24 | |
| dc.date.accessioned | 2026-07-07T08:51:14Z | |
| dc.date.available | 2026-07-07T08:51:14Z | |
| dc.description | We introduce a notion of $\ell$-Volterra quadratic stochastic operator defined on $(m-1)$-dimensional simplex, where $\ell\in\{0,1,...,m\}$. The $\ell$-Volterra operator is a Volterra operator iff $\ell=m$. We study structure of the set of all $\ell$-Volterra operators and describe their several fixed and periodic points. For $m=2$ and 3 we describe behavior of trajectories of $(m-1)$-Volterra operators. The paper also contains many remarks with comparisons of $\ell$-Volterra operators and Volterra ones. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/0712.3979 | |
| dc.identifier | http://arxiv.org/abs/0712.3979 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144866 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37XX | |
| dc.title | On Dynamics of $\ell$- Volterra Quadratic Stochastic Operators | |
| dc.type | text |