Browsing by Subject "periodic solutions"

Now showing 1 - 3 of 3

Access status: Open Access ,
Chaotic dynamics in the Volterra predator-prey model via linked twist maps
(2008) Pireddu, Marina; Zanolin, Fabio
We prove the existence of infinitely many periodic solutions and complicated dynamics, due to the presence of a topological horseshoe, for the classical Volterra predator-prey model with a periodic harvesting. The proof relies on some recent results about chaotic planar maps combined with the study of geometric features which are typical of linked twist maps.
Access status: Open Access ,
On periodic and stable solutions of the Lasota equation in different phase spaces
(2008) Dawidowicz, Antoni Leon; Poskrobko, Anna
We study properties of the Lasota partial differential equation in two different spaces: $V_{\alpha}$ (Hölder continuous functions) and $L^{p}$. The aim of this paper is to generalize the results of [Z. Brzeźniak, A. L. Dawidowicz, <i>On the periodic solution to the von Foerster-Lasota equation</i>, to appear in Semigroup Forum].
Access status: Open Access ,
On the global attractivity and the periodic character of a recursive sequence
(2010) Elsayed, E. M.
In this paper we investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence $x_{n+1} = ax_n + \frac{bx_{n-1}+cx_{n+2}}{dx_{n-1}+ex_{n+2}}, \quad n=0,1,\ldots,$, where the parameters $a$, $b$, $c$, $d$ and $e$ are positive real numbers and the initial conditions $x_{-2}$, $x_{-1}$ and $x_{0}$ are positive real numbers.