Folding, cycles and chaos in planar systems
Folding, cycles and chaos in planar systems
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DOI：
10.1080/10236198.2014.974585
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发表时间：
2014-06
影响因子：
1.1
通讯作者：
H. Sedaghat
中科院分区：
文献类型：
--
作者：
H. Sedaghat
一个典型的平面差分方程组可以折叠或变换为一个二阶标量差分方程加上一个被动（非动力）方程。本文讨论了这种方法及其在识别和证明变系数有理差分方程系统中周期和混沌的存在性和不存在性中的应用。这些系统包括一些收敛到自治系统的系统和一些不收敛到自治系统的系统，例如具有周期系数的系统。
A typical planar system of difference equations can be folded or transformed into a scalar difference equation of order two plus a passive (non-dynamic) equation. We discuss this method and its application to identify and prove the existence or nonexistence of cycles and chaos in systems of rational difference equations with variable coefficients. These include some systems that converge to autonomous systems and some that do not, e.g. systems with periodic coefficients.