On the global stability of periodic Ricker maps

Electronic Journal of Qualitative Theory of Differential Equations

Eduardo Liz¹ 

[1] University of Vigo, Vigo, Spain;

关键词: periodic ricker map;    difference equations;    global stability;   

DOI  :  10.14232/ejqtde.2016.1.76

来源: DOAJ

【 摘 要 】

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 $p=3$.

【 授权许可】

Unknown