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15. 1. 2017.
Stability, periodicity, and symmetries of certain second‐order fractional difference equation with quadratic terms via KAM theory
By using the Kolmogorov–Arnold–Moser theory, we investigate the stability of the equilibrium solution of the difference equation un+1=A+Bun+un2(1+Dun)un−1,n=0,1,2,… where A,B,D > 0,u−1,u0>0. We also use the symmetries to find effectively the periodic solutions with feasible periods. Copyright © 2016 John Wiley & Sons, Ltd.