Period-Two Solutions to Some Systems of Rational Difference Equations

被引:0
作者
Sizer, Walter S. [1 ]
机构
[1] Minnesota State Univ Moorhead, Moorhead, MN 56563 USA
来源
DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATI ONS | 2013年 / 47卷
关键词
Difference equations; Periodic solutions;
D O I
10.1007/978-1-4614-7333-6_55
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider period-two solutions to various cases of the difference equations x(n+1) = A+Bx(n)+Cy-n / D+Ex(n)+Fy(n), y(n+1) = J+Kx(n)+Ly(n) / P+Qx(n)+Ry(n). We give several examples of period-two solutions and in some cases categorize prime period-two solutions. We also apply our techniques to a single second-order rational difference equation to get circumstances leading to a prime period-two solution.
引用
收藏
页码:599 / 605
页数:7
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[2]  
Kulenovic M., 2002, Dynamics of Second Order Rational Difference Equations with Open Problems and Conjectures
[3]  
Radin Michael, 2011, INT C DIFF DIFF EQ A