Stability, periodicity, and symmetries of certain second-order fractional difference equation with quadratic terms via KAM theory

被引：3
|
作者：
Garic-Demirovic, Mirela [1 ]
Nurkanovic, M. [1 ]
Nurkanovic, Z. [1 ]
机构：
[1] Univ Tuzla, Dept Math, Tuzla 75000, Bosnia & Herceg
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 01期
关键词：
area-preserving map; Birkhoff normal form; KAM theorem; stability; periodicity; twist coefficient;
D O I：
10.1002/mma.4000
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using the Kolmogorov-Arnold-Moser theory, we investigate the stability of the equilibrium solution of the difference equation u(n+1) = A + Bu-n + u(n)(2)/(1 + Du(n))u(n-1), n = 0, 1, 2, ... where A, B, D > 0, u(-1), u(0) > 0. We also use the symmetries to find effectively the periodic solutions with feasible periods. Copyright (C) 2016 John Wiley & Sons, Ltd.
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页码：306 / 318
页数：13
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