论文标题

在圆形图中抑制准静脉疾病

Suppression of Quasiperiodicity in Circle Maps with Quenched Disorder

论文作者

Müller-Bender, David, Kastner, Johann Luca, Radons, Günter

论文摘要

我们表明,将猝灭障碍引入圆形图会导致抑制大型系统大小的极限。具体而言,对于大多数参数而言,疾病实现的比例显示出准碘的量随系统尺寸而降低,最终在无限大小的极限下消失,几乎所有实现都显示模式锁定。因此,在此极限和与标准圆图的强烈对比下,几乎整个参数空间与可逆动力学相对应。

We show that introducing quenched disorder into a circle map leads to the suppression of quasiperiodic behavior in the limit of large system sizes. Specifically, for most parameters the fraction of disorder realizations showing quasiperiodicity decreases with the system size and eventually vanishes in the limit of infinite size, where almost all realizations show mode-locking. Consequently, in this limit, and in strong contrast to standard circle maps, almost the whole parameter space corresponding to invertible dynamics consists of Arnold tongues.

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