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On globally attracting two-cycles of second order difference equations
Journal article   Peer reviewed

On globally attracting two-cycles of second order difference equations

R. Abu-Saris and Q. Al-Hassan
Journal of difference equations and applications, Vol.11(15), pp.1295-1303
12/2005
DOI: https://doi.org/10.1080/10236190500405125

Abstract

Difference equations Global attractivity Invariants and first integrals Periodic solutions
We establish necessary and sufficient conditions so that all solutions of a second order autonomous difference equation are attracted to period-2 solutions. In addition, we prove that difference equations enjoying this property posses invariants or first integrals.

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