Global Dynamics of Certain Homogeneous Second-Order Quadratic Fractional Difference Equation
Keyword(s):
We investigate the basins of attraction of equilibrium points and minimal period-two solutions of the difference equation of the formxn+1=xn-12/(axn2+bxnxn-1+cxn-12),n=0,1,2,…,where the parameters a, b, and c are positive numbers and the initial conditionsx-1andx0are arbitrary nonnegative numbers. The unique feature of this equation is the coexistence of an equilibrium solution and the minimal period-two solution both of which are locally asymptotically stable.
2014 ◽
Vol 2014
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pp. 1-13
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2013 ◽
Vol 2013
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pp. 1-5
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2015 ◽
Vol 2015
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pp. 1-16
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2017 ◽
Vol 27
(08)
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pp. 1750128
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Keyword(s):