Golden mean renormalization for the Harper equation: The strong coupling fixed point
Golden mean renormalization for the Harper equation: The strong coupling fixed point
复制标题
哈珀方程的黄金均值重整化：强耦合不动点
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
B. Winn
中科院分区：
文献类型：
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作者：
B. Mestel;A. Osbaldestin;B. Winn
我们构造了一个对应于黄金平均哈珀方程强耦合极限的重整化不动点。我们给出了这个不动点的解析表达式，建立了它的存在性和唯一性，并验证了以前只在数值计算中看到的属性。重整化算子在此不动点的线性化谱也被明确地确定。这个强耦合不动点也有助于描述一个奇怪的非混沌吸引子在准周期强迫系统的发病。
We construct a renormalization fixed point corresponding to the strong coupling limit of the golden mean Harper equation. We give an analytic expression for this fixed point, establish its existence and uniqueness, and verify properties previously seen only in numerical calculations. The spectrum of the linearization of the renormalization operator at this fixed point is also explicitly determined. This strong coupling fixed point also helps describe the onset of a strange nonchaotic attractor in quasiperiodically forced systems.