On the characterization of periodic complex Horadam sequences
On the characterization of periodic complex Horadam sequences
复制标题
关于周期复数Horadam序列的表征
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
P. Larcombe
中科院分区：
文献类型：
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作者：
O. Bagdasar;P. Larcombe
Horadam序列是二阶线性递归序列，它依赖于一个四参数族（两个在定义递归本身中，两个初始值）。在这篇文章中，我们找到了复Horadam序列的周期性的必要条件和充分条件，在一般的初始值，退化和非退化的特征解类型的序列行为的特征。还确定了包含周期轨道的区域的内边界和外边界。
Horadam sequences are second-order linear recurrence sequences which depend on a family of four parameters (two in the defining recursion itself, and two initial values). In this article we find necessary and sufficient conditions for the periodicity of complex Horadam sequences, under general initial values, characterizing sequence behavior for degenerate and non-degenerate characteristic solution types. Inner and outer boundaries for regions containing periodic orbits are also determined.