On the Period-Two Cycles of

S. Atawna, R. Abu-Saris, I. Hashim and E. S. Ismail

Abstract and Applied Analysis, 2013, vol. 2013, 1-10

Abstract:

We consider the higher order nonlinear rational difference equation , where the parameters are positive real numbers and the initial conditions are nonnegative real numbers, . We give a necessary and sufficient condition for the equation to have a prime period-two solution. We show that the period-two solution of the equation is locally asymptotically stable.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:179423

DOI: 10.1155/2013/179423

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