On the global stability of periodic Ricker maps | Zendy

Eduardo Liz | Zendy

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On the global stability of periodic Ricker maps

Author(s) -

Eduardo Liz

Publication year - 2016

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2016.1.76

Subject(s) - mathematics , conjecture , stability (learning theory) , stability theory , property (philosophy) , pure mathematics , mathematical analysis , computer science , physics , philosophy , epistemology , nonlinear system , quantum mechanics , machine learning

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.

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