Local Dynamics and Global Stability of Certain Second‐Order Rational Difference Equation with Quadratic Terms

S. Jašarević Hrustić, M. R. S. Kulenović and M. Nurkanović

Discrete Dynamics in Nature and Society, 2016, vol. 2016, issue 1

Abstract: We present a complete local dynamics and investigate the global dynamics of the following second‐order difference equation: xn+1=Axn2+Exn-1+F/axn2+exn-1+f, n=0,12,,…, where the parameters A, E, F, a, e, and f are nonnegative numbers with condition A + E + F > 0, a + e + f > 0, and the initial conditions x−1, x0 are arbitrary nonnegative numbers such that axn2+exn-1+f>00,12, n=,,….

Date: 2016
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https://doi.org/10.1155/2016/3716042

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnddns:v:2016:y:2016:i:1:n:3716042

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