On the global stability of periodic Ricker maps

Autor: Eduardo Liz
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 76, Pp 1-8 (2016)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2016.1.76
Popis: We find the exact region of global stability for the $2$-periodic Ricker difference equation, showing that a $2$-periodic solution is globally asymptotically stable whenever it is locally asymptotically stable and the equation does not have more $2$-periodic solutions. We conjecture that this property holds for the general $p$-periodic Ricker difference equation, and in particular we prove it for $p=3$.
Databáze: Directory of Open Access Journals